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Finding the Third Proportional to 542,632 and 797,708

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Solution

The third proportional to 542,632 and 797,708 is: 1,172,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,632 : 797,708 = 797,708 : x
  2. Step 2: Convert to fraction form
    542,632/797,708 = 797,708/x
  3. Step 3: Cross multiply
    542,632x = 797,708 × 797,708
  4. Step 4: Simplify right side
    542,632x = 636,338,053,264
  5. Step 5: Solve for x
    x = 636,338,053,264/542,632
  6. Step 6: Final answer
    x = 1,172,688.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.