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Finding the Third Proportional to 394,378 and 591,375

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Solution

The third proportional to 394,378 and 591,375 is: 886,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,378 : 591,375 = 591,375 : x
  2. Step 2: Convert to fraction form
    394,378/591,375 = 591,375/x
  3. Step 3: Cross multiply
    394,378x = 591,375 × 591,375
  4. Step 4: Simplify right side
    394,378x = 349,724,390,625
  5. Step 5: Solve for x
    x = 349,724,390,625/394,378
  6. Step 6: Final answer
    x = 886,774.59

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Why These Related Problems?

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