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Finding the Third Proportional to 261,250 and 392,227

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Solution

The third proportional to 261,250 and 392,227 is: 588,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,250 : 392,227 = 392,227 : x
  2. Step 2: Convert to fraction form
    261,250/392,227 = 392,227/x
  3. Step 3: Cross multiply
    261,250x = 392,227 × 392,227
  4. Step 4: Simplify right side
    261,250x = 153,842,019,529
  5. Step 5: Solve for x
    x = 153,842,019,529/261,250
  6. Step 6: Final answer
    x = 588,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.