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Finding the Third Proportional to 539,676 and 792,016

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Solution

The third proportional to 539,676 and 792,016 is: 1,162,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,676 : 792,016 = 792,016 : x
  2. Step 2: Convert to fraction form
    539,676/792,016 = 792,016/x
  3. Step 3: Cross multiply
    539,676x = 792,016 × 792,016
  4. Step 4: Simplify right side
    539,676x = 627,289,344,256
  5. Step 5: Solve for x
    x = 627,289,344,256/539,676
  6. Step 6: Final answer
    x = 1,162,344.34

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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.