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Finding the Third Proportional to 276,571 and 413,092

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Solution

The third proportional to 276,571 and 413,092 is: 617,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,571 : 413,092 = 413,092 : x
  2. Step 2: Convert to fraction form
    276,571/413,092 = 413,092/x
  3. Step 3: Cross multiply
    276,571x = 413,092 × 413,092
  4. Step 4: Simplify right side
    276,571x = 170,645,000,464
  5. Step 5: Solve for x
    x = 170,645,000,464/276,571
  6. Step 6: Final answer
    x = 617,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.