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Finding the Third Proportional to 387,764.72 and 582,057.14

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Solution

The third proportional to 387,764.72 and 582,057.14 is: 873,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,764.72 : 582,057.14 = 582,057.14 : x
  2. Step 2: Convert to fraction form
    387,764.72/582,057.14 = 582,057.14/x
  3. Step 3: Cross multiply
    387,764.72x = 582,057.14 × 582,057.14
  4. Step 4: Simplify right side
    387,764.72x = 338,790,514,952.55
  5. Step 5: Solve for x
    x = 338,790,514,952.55/387,764.72
  6. Step 6: Final answer
    x = 873,701.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.