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Finding the Third Proportional to 394,524 and 610,200

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Solution

The third proportional to 394,524 and 610,200 is: 943,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,524 : 610,200 = 610,200 : x
  2. Step 2: Convert to fraction form
    394,524/610,200 = 610,200/x
  3. Step 3: Cross multiply
    394,524x = 610,200 × 610,200
  4. Step 4: Simplify right side
    394,524x = 372,344,040,000
  5. Step 5: Solve for x
    x = 372,344,040,000/394,524
  6. Step 6: Final answer
    x = 943,780.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.