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Finding the Third Proportional to 267,976 and 426,563

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Solution

The third proportional to 267,976 and 426,563 is: 679,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,976 : 426,563 = 426,563 : x
  2. Step 2: Convert to fraction form
    267,976/426,563 = 426,563/x
  3. Step 3: Cross multiply
    267,976x = 426,563 × 426,563
  4. Step 4: Simplify right side
    267,976x = 181,955,992,969
  5. Step 5: Solve for x
    x = 181,955,992,969/267,976
  6. Step 6: Final answer
    x = 679,001.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.