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Finding the Third Proportional to 498,098 and 752,331

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Solution

The third proportional to 498,098 and 752,331 is: 1,136,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,098 : 752,331 = 752,331 : x
  2. Step 2: Convert to fraction form
    498,098/752,331 = 752,331/x
  3. Step 3: Cross multiply
    498,098x = 752,331 × 752,331
  4. Step 4: Simplify right side
    498,098x = 566,001,933,561
  5. Step 5: Solve for x
    x = 566,001,933,561/498,098
  6. Step 6: Final answer
    x = 1,136,326.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.