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Finding the Third Proportional to 394,540.50 and 558,267

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Solution

The third proportional to 394,540.50 and 558,267 is: 789,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,540.50 : 558,267 = 558,267 : x
  2. Step 2: Convert to fraction form
    394,540.50/558,267 = 558,267/x
  3. Step 3: Cross multiply
    394,540.50x = 558,267 × 558,267
  4. Step 4: Simplify right side
    394,540.50x = 311,662,043,289
  5. Step 5: Solve for x
    x = 311,662,043,289/394,540.50
  6. Step 6: Final answer
    x = 789,936.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.