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Finding the Third Proportional to 267,277 and 399,606

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Solution

The third proportional to 267,277 and 399,606 is: 597,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,277 : 399,606 = 399,606 : x
  2. Step 2: Convert to fraction form
    267,277/399,606 = 399,606/x
  3. Step 3: Cross multiply
    267,277x = 399,606 × 399,606
  4. Step 4: Simplify right side
    267,277x = 159,684,955,236
  5. Step 5: Solve for x
    x = 159,684,955,236/267,277
  6. Step 6: Final answer
    x = 597,451.17

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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.