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Finding the Third Proportional to 394,494 and 640,917

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Solution

The third proportional to 394,494 and 640,917 is: 1,041,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,494 : 640,917 = 640,917 : x
  2. Step 2: Convert to fraction form
    394,494/640,917 = 640,917/x
  3. Step 3: Cross multiply
    394,494x = 640,917 × 640,917
  4. Step 4: Simplify right side
    394,494x = 410,774,600,889
  5. Step 5: Solve for x
    x = 410,774,600,889/394,494
  6. Step 6: Final answer
    x = 1,041,269.58

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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.