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Finding the Third Proportional to 542,694 and 797,779

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Solution

The third proportional to 542,694 and 797,779 is: 1,172,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,694 : 797,779 = 797,779 : x
  2. Step 2: Convert to fraction form
    542,694/797,779 = 797,779/x
  3. Step 3: Cross multiply
    542,694x = 797,779 × 797,779
  4. Step 4: Simplify right side
    542,694x = 636,451,332,841
  5. Step 5: Solve for x
    x = 636,451,332,841/542,694
  6. Step 6: Final answer
    x = 1,172,762.80

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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.