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Finding the Third Proportional to 542,706 and 797,797

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Solution

The third proportional to 542,706 and 797,797 is: 1,172,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706 : 797,797 = 797,797 : x
  2. Step 2: Convert to fraction form
    542,706/797,797 = 797,797/x
  3. Step 3: Cross multiply
    542,706x = 797,797 × 797,797
  4. Step 4: Simplify right side
    542,706x = 636,480,053,209
  5. Step 5: Solve for x
    x = 636,480,053,209/542,706
  6. Step 6: Final answer
    x = 1,172,789.79

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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.