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Finding the Third Proportional to 394,325 and 855,084

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Solution

The third proportional to 394,325 and 855,084 is: 1,854,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,325 : 855,084 = 855,084 : x
  2. Step 2: Convert to fraction form
    394,325/855,084 = 855,084/x
  3. Step 3: Cross multiply
    394,325x = 855,084 × 855,084
  4. Step 4: Simplify right side
    394,325x = 731,168,647,056
  5. Step 5: Solve for x
    x = 731,168,647,056/394,325
  6. Step 6: Final answer
    x = 1,854,228.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.