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Finding the Third Proportional to 330,584.50 and 491,016.50

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Solution

The third proportional to 330,584.50 and 491,016.50 is: 729,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,584.50 : 491,016.50 = 491,016.50 : x
  2. Step 2: Convert to fraction form
    330,584.50/491,016.50 = 491,016.50/x
  3. Step 3: Cross multiply
    330,584.50x = 491,016.50 × 491,016.50
  4. Step 4: Simplify right side
    330,584.50x = 241,097,203,272.25
  5. Step 5: Solve for x
    x = 241,097,203,272.25/330,584.50
  6. Step 6: Final answer
    x = 729,305.83

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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.