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Finding the Third Proportional to 380,793 and 836,325

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Solution

The third proportional to 380,793 and 836,325 is: 1,836,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,793 : 836,325 = 836,325 : x
  2. Step 2: Convert to fraction form
    380,793/836,325 = 836,325/x
  3. Step 3: Cross multiply
    380,793x = 836,325 × 836,325
  4. Step 4: Simplify right side
    380,793x = 699,439,505,625
  5. Step 5: Solve for x
    x = 699,439,505,625/380,793
  6. Step 6: Final answer
    x = 1,836,797.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.