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Finding the Third Proportional to 394,242 and 617,736

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Solution

The third proportional to 394,242 and 617,736 is: 967,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,242 : 617,736 = 617,736 : x
  2. Step 2: Convert to fraction form
    394,242/617,736 = 617,736/x
  3. Step 3: Cross multiply
    394,242x = 617,736 × 617,736
  4. Step 4: Simplify right side
    394,242x = 381,597,765,696
  5. Step 5: Solve for x
    x = 381,597,765,696/394,242
  6. Step 6: Final answer
    x = 967,927.73

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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.