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Finding the Third Proportional to 542,704 and 797,794

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Solution

The third proportional to 542,704 and 797,794 is: 1,172,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,704 : 797,794 = 797,794 : x
  2. Step 2: Convert to fraction form
    542,704/797,794 = 797,794/x
  3. Step 3: Cross multiply
    542,704x = 797,794 × 797,794
  4. Step 4: Simplify right side
    542,704x = 636,475,266,436
  5. Step 5: Solve for x
    x = 636,475,266,436/542,704
  6. Step 6: Final answer
    x = 1,172,785.29

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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.