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Finding the Third Proportional to 270,976 and 587,132

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Solution

The third proportional to 270,976 and 587,132 is: 1,272,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,976 : 587,132 = 587,132 : x
  2. Step 2: Convert to fraction form
    270,976/587,132 = 587,132/x
  3. Step 3: Cross multiply
    270,976x = 587,132 × 587,132
  4. Step 4: Simplify right side
    270,976x = 344,723,985,424
  5. Step 5: Solve for x
    x = 344,723,985,424/270,976
  6. Step 6: Final answer
    x = 1,272,156.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.