Math

General Education Mathematics
- Class \

                                                            Hamilton’s Method
                            U.S. Population
Let D = -------------------------------------------
                      Number of House Seats  
                                                                            State Population
For each individual state, State     Quota = --------------------------, rounded down.
          D
Track the remainder fractions.
Appoint each individual state its State Quota of Representatives and then distribute the remaining seats according to the size of the remainders, until the surplus of seats is exhausted.
State
Population
1   15475
2     35644
3     98756
4     88346
5     369
6     85663
7     43427
8     84311
9   54730
10     25467
532188

One way to figure this out is to take the total population and divide the individual state population with the aggregate total.
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Total Population     532188
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State 1     2.90%   (15475/532188)   3 seats
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State 2     6.69%   (35644/532188)   6 Seats
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State 3   18.55%   (98756/532188)   18 seats
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State 4   16.60%   (88346/532188)   17 Seat
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State 5   .131%     (43427/532188) 1 Seat
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State 6   16.096%   (85311/532188) 16 seats
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State 7     8.16%     (43427/532188) 8 Seats
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State 8   15.84%     (84311/532188) 16 Seats
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State 9   10.28%     (54730/532188) 10 seats...