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Finding the Third Proportional to 552,204 and 836,622

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Solution

The third proportional to 552,204 and 836,622 is: 1,267,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,204 : 836,622 = 836,622 : x
  2. Step 2: Convert to fraction form
    552,204/836,622 = 836,622/x
  3. Step 3: Cross multiply
    552,204x = 836,622 × 836,622
  4. Step 4: Simplify right side
    552,204x = 699,936,370,884
  5. Step 5: Solve for x
    x = 699,936,370,884/552,204
  6. Step 6: Final answer
    x = 1,267,532.24

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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.