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Finding the Third Proportional to 270,195.75 and 587,958.75

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Solution

The third proportional to 270,195.75 and 587,958.75 is: 1,279,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,195.75 : 587,958.75 = 587,958.75 : x
  2. Step 2: Convert to fraction form
    270,195.75/587,958.75 = 587,958.75/x
  3. Step 3: Cross multiply
    270,195.75x = 587,958.75 × 587,958.75
  4. Step 4: Simplify right side
    270,195.75x = 345,695,491,701.56
  5. Step 5: Solve for x
    x = 345,695,491,701.56/270,195.75
  6. Step 6: Final answer
    x = 1,279,426.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.