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Finding the Third Proportional to 327,624.75 and 700,789.50

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Solution

The third proportional to 327,624.75 and 700,789.50 is: 1,498,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,624.75 : 700,789.50 = 700,789.50 : x
  2. Step 2: Convert to fraction form
    327,624.75/700,789.50 = 700,789.50/x
  3. Step 3: Cross multiply
    327,624.75x = 700,789.50 × 700,789.50
  4. Step 4: Simplify right side
    327,624.75x = 491,105,923,310.25
  5. Step 5: Solve for x
    x = 491,105,923,310.25/327,624.75
  6. Step 6: Final answer
    x = 1,498,989.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.