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Finding the Third Proportional to 267,450 and 587,382

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Solution

The third proportional to 267,450 and 587,382 is: 1,290,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,450 : 587,382 = 587,382 : x
  2. Step 2: Convert to fraction form
    267,450/587,382 = 587,382/x
  3. Step 3: Cross multiply
    267,450x = 587,382 × 587,382
  4. Step 4: Simplify right side
    267,450x = 345,017,613,924
  5. Step 5: Solve for x
    x = 345,017,613,924/267,450
  6. Step 6: Final answer
    x = 1,290,026.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.