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Finding the Third Proportional to 327,067.50 and 492,221.25

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Solution

The third proportional to 327,067.50 and 492,221.25 is: 740,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,067.50 : 492,221.25 = 492,221.25 : x
  2. Step 2: Convert to fraction form
    327,067.50/492,221.25 = 492,221.25/x
  3. Step 3: Cross multiply
    327,067.50x = 492,221.25 × 492,221.25
  4. Step 4: Simplify right side
    327,067.50x = 242,281,758,951.56
  5. Step 5: Solve for x
    x = 242,281,758,951.56/327,067.50
  6. Step 6: Final answer
    x = 740,769.90

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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.