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Finding the Third Proportional to 267,981 and 426,571

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Solution

The third proportional to 267,981 and 426,571 is: 679,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,981 : 426,571 = 426,571 : x
  2. Step 2: Convert to fraction form
    267,981/426,571 = 426,571/x
  3. Step 3: Cross multiply
    267,981x = 426,571 × 426,571
  4. Step 4: Simplify right side
    267,981x = 181,962,818,041
  5. Step 5: Solve for x
    x = 181,962,818,041/267,981
  6. Step 6: Final answer
    x = 679,013.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.