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Finding the Third Proportional to 267,013 and 413,304

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Solution

The third proportional to 267,013 and 413,304 is: 639,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,013 : 413,304 = 413,304 : x
  2. Step 2: Convert to fraction form
    267,013/413,304 = 413,304/x
  3. Step 3: Cross multiply
    267,013x = 413,304 × 413,304
  4. Step 4: Simplify right side
    267,013x = 170,820,196,416
  5. Step 5: Solve for x
    x = 170,820,196,416/267,013
  6. Step 6: Final answer
    x = 639,744.87

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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.