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Finding the Third Proportional to 542,690 and 797,775

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Solution

The third proportional to 542,690 and 797,775 is: 1,172,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,690 : 797,775 = 797,775 : x
  2. Step 2: Convert to fraction form
    542,690/797,775 = 797,775/x
  3. Step 3: Cross multiply
    542,690x = 797,775 × 797,775
  4. Step 4: Simplify right side
    542,690x = 636,444,950,625
  5. Step 5: Solve for x
    x = 636,444,950,625/542,690
  6. Step 6: Final answer
    x = 1,172,759.68

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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.