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Finding the Third Proportional to 394,374 and 591,369

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Solution

The third proportional to 394,374 and 591,369 is: 886,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,374 : 591,369 = 591,369 : x
  2. Step 2: Convert to fraction form
    394,374/591,369 = 591,369/x
  3. Step 3: Cross multiply
    394,374x = 591,369 × 591,369
  4. Step 4: Simplify right side
    394,374x = 349,717,294,161
  5. Step 5: Solve for x
    x = 349,717,294,161/394,374
  6. Step 6: Final answer
    x = 886,765.59

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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.