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Finding the Third Proportional to 572,114 and 752,331

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Solution

The third proportional to 572,114 and 752,331 is: 989,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,114 : 752,331 = 752,331 : x
  2. Step 2: Convert to fraction form
    572,114/752,331 = 752,331/x
  3. Step 3: Cross multiply
    572,114x = 752,331 × 752,331
  4. Step 4: Simplify right side
    572,114x = 566,001,933,561
  5. Step 5: Solve for x
    x = 566,001,933,561/572,114
  6. Step 6: Final answer
    x = 989,316.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.