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Finding the Third Proportional to 394,226 and 617,591.50

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Solution

The third proportional to 394,226 and 617,591.50 is: 967,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,226 : 617,591.50 = 617,591.50 : x
  2. Step 2: Convert to fraction form
    394,226/617,591.50 = 617,591.50/x
  3. Step 3: Cross multiply
    394,226x = 617,591.50 × 617,591.50
  4. Step 4: Simplify right side
    394,226x = 381,419,260,872.25
  5. Step 5: Solve for x
    x = 381,419,260,872.25/394,226
  6. Step 6: Final answer
    x = 967,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.