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Finding the Third Proportional to 394,573 and 850,717

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Solution

The third proportional to 394,573 and 850,717 is: 1,834,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,573 : 850,717 = 850,717 : x
  2. Step 2: Convert to fraction form
    394,573/850,717 = 850,717/x
  3. Step 3: Cross multiply
    394,573x = 850,717 × 850,717
  4. Step 4: Simplify right side
    394,573x = 723,719,414,089
  5. Step 5: Solve for x
    x = 723,719,414,089/394,573
  6. Step 6: Final answer
    x = 1,834,183.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.