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Finding the Third Proportional to 327,773.25 and 515,031.75

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Solution

The third proportional to 327,773.25 and 515,031.75 is: 809,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,773.25 : 515,031.75 = 515,031.75 : x
  2. Step 2: Convert to fraction form
    327,773.25/515,031.75 = 515,031.75/x
  3. Step 3: Cross multiply
    327,773.25x = 515,031.75 × 515,031.75
  4. Step 4: Simplify right side
    327,773.25x = 265,257,703,508.06
  5. Step 5: Solve for x
    x = 265,257,703,508.06/327,773.25
  6. Step 6: Final answer
    x = 809,271.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.