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Finding the Third Proportional to 392,736 and 614,376

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Solution

The third proportional to 392,736 and 614,376 is: 961,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,736 : 614,376 = 614,376 : x
  2. Step 2: Convert to fraction form
    392,736/614,376 = 614,376/x
  3. Step 3: Cross multiply
    392,736x = 614,376 × 614,376
  4. Step 4: Simplify right side
    392,736x = 377,457,869,376
  5. Step 5: Solve for x
    x = 377,457,869,376/392,736
  6. Step 6: Final answer
    x = 961,098.22

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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.