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Finding the Third Proportional to 267,371 and 399,705

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Solution

The third proportional to 267,371 and 399,705 is: 597,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,371 : 399,705 = 399,705 : x
  2. Step 2: Convert to fraction form
    267,371/399,705 = 399,705/x
  3. Step 3: Cross multiply
    267,371x = 399,705 × 399,705
  4. Step 4: Simplify right side
    267,371x = 159,764,087,025
  5. Step 5: Solve for x
    x = 159,764,087,025/267,371
  6. Step 6: Final answer
    x = 597,537.08

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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.