Proportional Voting for the House of Representatives?

Many democracies elect their legislatures (or parliaments) through proportional voting. Parties submit a list of candidates for election, and voters vote for the party, not the candidate. Parties are represented in legislatures in proportion to their vote shares. A party that gets 40% of the votes gets 40% of the seats.
This contrasts with the plurality system used in the United States in which candidates run for seats and the candidate that gets the most votes wins. Perhaps we should change the method of electing representatives to the House of Representatives to adopt proportional voting.
Rather than having representatives run in individual

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