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Finding the Third Proportional to 394,744 and 601,932

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Solution

The third proportional to 394,744 and 601,932 is: 917,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,744 : 601,932 = 601,932 : x
  2. Step 2: Convert to fraction form
    394,744/601,932 = 601,932/x
  3. Step 3: Cross multiply
    394,744x = 601,932 × 601,932
  4. Step 4: Simplify right side
    394,744x = 362,322,132,624
  5. Step 5: Solve for x
    x = 362,322,132,624/394,744
  6. Step 6: Final answer
    x = 917,866.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.