Yes, you are correct that there are two primary ways to amend the U.S. Constitution, as outlined in Article V of the Constitution. Here they are:
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Congressional Proposal: An amendment can be proposed by a two-thirds majority vote in both the House of Representatives and the Senate. Once the amendment is proposed, it must then be ratified.
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State Legislative Proposal: Alternatively, an amendment can be proposed by a national convention called for by two-thirds of the state legislatures. This method has not yet been used.
After an amendment is proposed through either method, it must be ratified by three-fourths (currently 38 out of 50) of the state legislatures or by conventions in three-fourths of the states.
These processes ensure that amending the Constitution is a challenging task, requiring broad consensus at both the federal and state levels.