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Finding the Third Proportional to 394,382 and 591,381

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Solution

The third proportional to 394,382 and 591,381 is: 886,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,382 : 591,381 = 591,381 : x
  2. Step 2: Convert to fraction form
    394,382/591,381 = 591,381/x
  3. Step 3: Cross multiply
    394,382x = 591,381 × 591,381
  4. Step 4: Simplify right side
    394,382x = 349,731,487,161
  5. Step 5: Solve for x
    x = 349,731,487,161/394,382
  6. Step 6: Final answer
    x = 886,783.59

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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.