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Finding the Third Proportional to 392,292 and 527,844

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Solution

The third proportional to 392,292 and 527,844 is: 710,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,292 : 527,844 = 527,844 : x
  2. Step 2: Convert to fraction form
    392,292/527,844 = 527,844/x
  3. Step 3: Cross multiply
    392,292x = 527,844 × 527,844
  4. Step 4: Simplify right side
    392,292x = 278,619,288,336
  5. Step 5: Solve for x
    x = 278,619,288,336/392,292
  6. Step 6: Final answer
    x = 710,234.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.