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Finding the Third Proportional to 200,624 and 304,877

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Solution

The third proportional to 200,624 and 304,877 is: 463,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,624 : 304,877 = 304,877 : x
  2. Step 2: Convert to fraction form
    200,624/304,877 = 304,877/x
  3. Step 3: Cross multiply
    200,624x = 304,877 × 304,877
  4. Step 4: Simplify right side
    200,624x = 92,949,985,129
  5. Step 5: Solve for x
    x = 92,949,985,129/200,624
  6. Step 6: Final answer
    x = 463,304.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.