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Finding the Third Proportional to 234,317.25 and 485,250.75

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Solution

The third proportional to 234,317.25 and 485,250.75 is: 1,004,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,317.25 : 485,250.75 = 485,250.75 : x
  2. Step 2: Convert to fraction form
    234,317.25/485,250.75 = 485,250.75/x
  3. Step 3: Cross multiply
    234,317.25x = 485,250.75 × 485,250.75
  4. Step 4: Simplify right side
    234,317.25x = 235,468,290,375.56
  5. Step 5: Solve for x
    x = 235,468,290,375.56/234,317.25
  6. Step 6: Final answer
    x = 1,004,912.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.