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Finding the Third Proportional to 267,134 and 416,019

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Solution

The third proportional to 267,134 and 416,019 is: 647,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,134 : 416,019 = 416,019 : x
  2. Step 2: Convert to fraction form
    267,134/416,019 = 416,019/x
  3. Step 3: Cross multiply
    267,134x = 416,019 × 416,019
  4. Step 4: Simplify right side
    267,134x = 173,071,808,361
  5. Step 5: Solve for x
    x = 173,071,808,361/267,134
  6. Step 6: Final answer
    x = 647,883.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.