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Finding the Third Proportional to 267,016 and 413,309

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Solution

The third proportional to 267,016 and 413,309 is: 639,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,016 : 413,309 = 413,309 : x
  2. Step 2: Convert to fraction form
    267,016/413,309 = 413,309/x
  3. Step 3: Cross multiply
    267,016x = 413,309 × 413,309
  4. Step 4: Simplify right side
    267,016x = 170,824,329,481
  5. Step 5: Solve for x
    x = 170,824,329,481/267,016
  6. Step 6: Final answer
    x = 639,753.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.