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Finding the Third Proportional to 542,708 and 797,800

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Solution

The third proportional to 542,708 and 797,800 is: 1,172,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,708 : 797,800 = 797,800 : x
  2. Step 2: Convert to fraction form
    542,708/797,800 = 797,800/x
  3. Step 3: Cross multiply
    542,708x = 797,800 × 797,800
  4. Step 4: Simplify right side
    542,708x = 636,484,840,000
  5. Step 5: Solve for x
    x = 636,484,840,000/542,708
  6. Step 6: Final answer
    x = 1,172,794.28

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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.