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Finding the Third Proportional to 394,554 and 610,245

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Solution

The third proportional to 394,554 and 610,245 is: 943,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,554 : 610,245 = 610,245 : x
  2. Step 2: Convert to fraction form
    394,554/610,245 = 610,245/x
  3. Step 3: Cross multiply
    394,554x = 610,245 × 610,245
  4. Step 4: Simplify right side
    394,554x = 372,398,960,025
  5. Step 5: Solve for x
    x = 372,398,960,025/394,554
  6. Step 6: Final answer
    x = 943,847.89

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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.