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Finding the Third Proportional to 267,622 and 587,708

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Solution

The third proportional to 267,622 and 587,708 is: 1,290,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,622 : 587,708 = 587,708 : x
  2. Step 2: Convert to fraction form
    267,622/587,708 = 587,708/x
  3. Step 3: Cross multiply
    267,622x = 587,708 × 587,708
  4. Step 4: Simplify right side
    267,622x = 345,400,693,264
  5. Step 5: Solve for x
    x = 345,400,693,264/267,622
  6. Step 6: Final answer
    x = 1,290,628.92

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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.