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Finding the Third Proportional to 498,656.25 and 747,792

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Solution

The third proportional to 498,656.25 and 747,792 is: 1,121,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,656.25 : 747,792 = 747,792 : x
  2. Step 2: Convert to fraction form
    498,656.25/747,792 = 747,792/x
  3. Step 3: Cross multiply
    498,656.25x = 747,792 × 747,792
  4. Step 4: Simplify right side
    498,656.25x = 559,192,875,264
  5. Step 5: Solve for x
    x = 559,192,875,264/498,656.25
  6. Step 6: Final answer
    x = 1,121,399.51

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Why These Related Problems?

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