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Finding the Third Proportional to 394,384 and 591,384

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Solution

The third proportional to 394,384 and 591,384 is: 886,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,384 : 591,384 = 591,384 : x
  2. Step 2: Convert to fraction form
    394,384/591,384 = 591,384/x
  3. Step 3: Cross multiply
    394,384x = 591,384 × 591,384
  4. Step 4: Simplify right side
    394,384x = 349,735,035,456
  5. Step 5: Solve for x
    x = 349,735,035,456/394,384
  6. Step 6: Final answer
    x = 886,788.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.