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Finding the Third Proportional to 267,375 and 399,711

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Solution

The third proportional to 267,375 and 399,711 is: 597,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,375 : 399,711 = 399,711 : x
  2. Step 2: Convert to fraction form
    267,375/399,711 = 399,711/x
  3. Step 3: Cross multiply
    267,375x = 399,711 × 399,711
  4. Step 4: Simplify right side
    267,375x = 159,768,883,521
  5. Step 5: Solve for x
    x = 159,768,883,521/267,375
  6. Step 6: Final answer
    x = 597,546.08

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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.