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Finding the Third Proportional to 327,361.50 and 491,484.75

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Solution

The third proportional to 327,361.50 and 491,484.75 is: 737,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361.50 : 491,484.75 = 491,484.75 : x
  2. Step 2: Convert to fraction form
    327,361.50/491,484.75 = 491,484.75/x
  3. Step 3: Cross multiply
    327,361.50x = 491,484.75 × 491,484.75
  4. Step 4: Simplify right side
    327,361.50x = 241,557,259,482.56
  5. Step 5: Solve for x
    x = 241,557,259,482.56/327,361.50
  6. Step 6: Final answer
    x = 737,891.47

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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.