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Finding the Third Proportional to 267,100 and 586,687

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Solution

The third proportional to 267,100 and 586,687 is: 1,288,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,100 : 586,687 = 586,687 : x
  2. Step 2: Convert to fraction form
    267,100/586,687 = 586,687/x
  3. Step 3: Cross multiply
    267,100x = 586,687 × 586,687
  4. Step 4: Simplify right side
    267,100x = 344,201,635,969
  5. Step 5: Solve for x
    x = 344,201,635,969/267,100
  6. Step 6: Final answer
    x = 1,288,662.06

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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.