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Finding the Third Proportional to 477,744 and 722,792

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Solution

The third proportional to 477,744 and 722,792 is: 1,093,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,744 : 722,792 = 722,792 : x
  2. Step 2: Convert to fraction form
    477,744/722,792 = 722,792/x
  3. Step 3: Cross multiply
    477,744x = 722,792 × 722,792
  4. Step 4: Simplify right side
    477,744x = 522,428,275,264
  5. Step 5: Solve for x
    x = 522,428,275,264/477,744
  6. Step 6: Final answer
    x = 1,093,531.84

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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.