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Finding the Third Proportional to 330,591.50 and 491,027

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Solution

The third proportional to 330,591.50 and 491,027 is: 729,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,591.50 : 491,027 = 491,027 : x
  2. Step 2: Convert to fraction form
    330,591.50/491,027 = 491,027/x
  3. Step 3: Cross multiply
    330,591.50x = 491,027 × 491,027
  4. Step 4: Simplify right side
    330,591.50x = 241,107,514,729
  5. Step 5: Solve for x
    x = 241,107,514,729/330,591.50
  6. Step 6: Final answer
    x = 729,321.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.