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Finding the Third Proportional to 498,288 and 752,616

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Solution

The third proportional to 498,288 and 752,616 is: 1,136,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,288 : 752,616 = 752,616 : x
  2. Step 2: Convert to fraction form
    498,288/752,616 = 752,616/x
  3. Step 3: Cross multiply
    498,288x = 752,616 × 752,616
  4. Step 4: Simplify right side
    498,288x = 566,430,843,456
  5. Step 5: Solve for x
    x = 566,430,843,456/498,288
  6. Step 6: Final answer
    x = 1,136,753.93

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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.