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Finding the Third Proportional to 267,713 and 414,530

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Solution

The third proportional to 267,713 and 414,530 is: 641,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,713 : 414,530 = 414,530 : x
  2. Step 2: Convert to fraction form
    267,713/414,530 = 414,530/x
  3. Step 3: Cross multiply
    267,713x = 414,530 × 414,530
  4. Step 4: Simplify right side
    267,713x = 171,835,120,900
  5. Step 5: Solve for x
    x = 171,835,120,900/267,713
  6. Step 6: Final answer
    x = 641,863.19

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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.