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Finding the Third Proportional to 394,536 and 558,261

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Solution

The third proportional to 394,536 and 558,261 is: 789,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,536 : 558,261 = 558,261 : x
  2. Step 2: Convert to fraction form
    394,536/558,261 = 558,261/x
  3. Step 3: Cross multiply
    394,536x = 558,261 × 558,261
  4. Step 4: Simplify right side
    394,536x = 311,655,344,121
  5. Step 5: Solve for x
    x = 311,655,344,121/394,536
  6. Step 6: Final answer
    x = 789,928.79

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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.