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Finding the Third Proportional to 394,500 and 640,927

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Solution

The third proportional to 394,500 and 640,927 is: 1,041,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,500 : 640,927 = 640,927 : x
  2. Step 2: Convert to fraction form
    394,500/640,927 = 640,927/x
  3. Step 3: Cross multiply
    394,500x = 640,927 × 640,927
  4. Step 4: Simplify right side
    394,500x = 410,787,419,329
  5. Step 5: Solve for x
    x = 410,787,419,329/394,500
  6. Step 6: Final answer
    x = 1,041,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.