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Finding the Third Proportional to 498,160 and 752,432

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Solution

The third proportional to 498,160 and 752,432 is: 1,136,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,160 : 752,432 = 752,432 : x
  2. Step 2: Convert to fraction form
    498,160/752,432 = 752,432/x
  3. Step 3: Cross multiply
    498,160x = 752,432 × 752,432
  4. Step 4: Simplify right side
    498,160x = 566,153,914,624
  5. Step 5: Solve for x
    x = 566,153,914,624/498,160
  6. Step 6: Final answer
    x = 1,136,490.11

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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.