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Finding the Third Proportional to 380,569.50 and 836,469

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Solution

The third proportional to 380,569.50 and 836,469 is: 1,838,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,569.50 : 836,469 = 836,469 : x
  2. Step 2: Convert to fraction form
    380,569.50/836,469 = 836,469/x
  3. Step 3: Cross multiply
    380,569.50x = 836,469 × 836,469
  4. Step 4: Simplify right side
    380,569.50x = 699,680,387,961
  5. Step 5: Solve for x
    x = 699,680,387,961/380,569.50
  6. Step 6: Final answer
    x = 1,838,508.83

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