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Finding the Third Proportional to 394,443 and 640,845

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Solution

The third proportional to 394,443 and 640,845 is: 1,041,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,443 : 640,845 = 640,845 : x
  2. Step 2: Convert to fraction form
    394,443/640,845 = 640,845/x
  3. Step 3: Cross multiply
    394,443x = 640,845 × 640,845
  4. Step 4: Simplify right side
    394,443x = 410,682,314,025
  5. Step 5: Solve for x
    x = 410,682,314,025/394,443
  6. Step 6: Final answer
    x = 1,041,170.24

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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.