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Finding the Third Proportional to 498,456 and 748,320

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Solution

The third proportional to 498,456 and 748,320 is: 1,123,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,456 : 748,320 = 748,320 : x
  2. Step 2: Convert to fraction form
    498,456/748,320 = 748,320/x
  3. Step 3: Cross multiply
    498,456x = 748,320 × 748,320
  4. Step 4: Simplify right side
    498,456x = 559,982,822,400
  5. Step 5: Solve for x
    x = 559,982,822,400/498,456
  6. Step 6: Final answer
    x = 1,123,434.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.