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Finding the Third Proportional to 564,394 and 752,414

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Solution

The third proportional to 564,394 and 752,414 is: 1,003,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,394 : 752,414 = 752,414 : x
  2. Step 2: Convert to fraction form
    564,394/752,414 = 752,414/x
  3. Step 3: Cross multiply
    564,394x = 752,414 × 752,414
  4. Step 4: Simplify right side
    564,394x = 566,126,827,396
  5. Step 5: Solve for x
    x = 566,126,827,396/564,394
  6. Step 6: Final answer
    x = 1,003,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.