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Finding the Third Proportional to 394,232 and 617,722

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Solution

The third proportional to 394,232 and 617,722 is: 967,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,232 : 617,722 = 617,722 : x
  2. Step 2: Convert to fraction form
    394,232/617,722 = 617,722/x
  3. Step 3: Cross multiply
    394,232x = 617,722 × 617,722
  4. Step 4: Simplify right side
    394,232x = 381,580,469,284
  5. Step 5: Solve for x
    x = 381,580,469,284/394,232
  6. Step 6: Final answer
    x = 967,908.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.