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Finding the Third Proportional to 327,181.78 and 491,118.19

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Solution

The third proportional to 327,181.78 and 491,118.19 is: 737,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,181.78 : 491,118.19 = 491,118.19 : x
  2. Step 2: Convert to fraction form
    327,181.78/491,118.19 = 491,118.19/x
  3. Step 3: Cross multiply
    327,181.78x = 491,118.19 × 491,118.19
  4. Step 4: Simplify right side
    327,181.78x = 241,197,074,093.29
  5. Step 5: Solve for x
    x = 241,197,074,093.29/327,181.78
  6. Step 6: Final answer
    x = 737,195.92

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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.