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Finding the Third Proportional to 394,081 and 611,452

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Solution

The third proportional to 394,081 and 611,452 is: 948,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,081 : 611,452 = 611,452 : x
  2. Step 2: Convert to fraction form
    394,081/611,452 = 611,452/x
  3. Step 3: Cross multiply
    394,081x = 611,452 × 611,452
  4. Step 4: Simplify right side
    394,081x = 373,873,548,304
  5. Step 5: Solve for x
    x = 373,873,548,304/394,081
  6. Step 6: Final answer
    x = 948,722.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.