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Finding the Third Proportional to 259,069.50 and 394,872.75

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Solution

The third proportional to 259,069.50 and 394,872.75 is: 601,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,069.50 : 394,872.75 = 394,872.75 : x
  2. Step 2: Convert to fraction form
    259,069.50/394,872.75 = 394,872.75/x
  3. Step 3: Cross multiply
    259,069.50x = 394,872.75 × 394,872.75
  4. Step 4: Simplify right side
    259,069.50x = 155,924,488,692.56
  5. Step 5: Solve for x
    x = 155,924,488,692.56/259,069.50
  6. Step 6: Final answer
    x = 601,863.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.