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Finding the Third Proportional to 270,067.50 and 582,001.88

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Solution

The third proportional to 270,067.50 and 582,001.88 is: 1,254,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,067.50 : 582,001.88 = 582,001.88 : x
  2. Step 2: Convert to fraction form
    270,067.50/582,001.88 = 582,001.88/x
  3. Step 3: Cross multiply
    270,067.50x = 582,001.88 × 582,001.88
  4. Step 4: Simplify right side
    270,067.50x = 338,726,182,503.52
  5. Step 5: Solve for x
    x = 338,726,182,503.52/270,067.50
  6. Step 6: Final answer
    x = 1,254,227.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.