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Finding the Third Proportional to 394,586 and 641,073

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Solution

The third proportional to 394,586 and 641,073 is: 1,041,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,586 : 641,073 = 641,073 : x
  2. Step 2: Convert to fraction form
    394,586/641,073 = 641,073/x
  3. Step 3: Cross multiply
    394,586x = 641,073 × 641,073
  4. Step 4: Simplify right side
    394,586x = 410,974,591,329
  5. Step 5: Solve for x
    x = 410,974,591,329/394,586
  6. Step 6: Final answer
    x = 1,041,533.64

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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.