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Finding the Third Proportional to 550,662 and 836,469

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Solution

The third proportional to 550,662 and 836,469 is: 1,270,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,662 : 836,469 = 836,469 : x
  2. Step 2: Convert to fraction form
    550,662/836,469 = 836,469/x
  3. Step 3: Cross multiply
    550,662x = 836,469 × 836,469
  4. Step 4: Simplify right side
    550,662x = 699,680,387,961
  5. Step 5: Solve for x
    x = 699,680,387,961/550,662
  6. Step 6: Final answer
    x = 1,270,616.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.