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Finding the Third Proportional to 392,872 and 614,580

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Solution

The third proportional to 392,872 and 614,580 is: 961,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,872 : 614,580 = 614,580 : x
  2. Step 2: Convert to fraction form
    392,872/614,580 = 614,580/x
  3. Step 3: Cross multiply
    392,872x = 614,580 × 614,580
  4. Step 4: Simplify right side
    392,872x = 377,708,576,400
  5. Step 5: Solve for x
    x = 377,708,576,400/392,872
  6. Step 6: Final answer
    x = 961,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.