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Finding the Third Proportional to 542,692 and 797,776

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Solution

The third proportional to 542,692 and 797,776 is: 1,172,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,692 : 797,776 = 797,776 : x
  2. Step 2: Convert to fraction form
    542,692/797,776 = 797,776/x
  3. Step 3: Cross multiply
    542,692x = 797,776 × 797,776
  4. Step 4: Simplify right side
    542,692x = 636,446,546,176
  5. Step 5: Solve for x
    x = 636,446,546,176/542,692
  6. Step 6: Final answer
    x = 1,172,758.30

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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.