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Finding the Third Proportional to 552,212 and 836,636

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Solution

The third proportional to 552,212 and 836,636 is: 1,267,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,212 : 836,636 = 836,636 : x
  2. Step 2: Convert to fraction form
    552,212/836,636 = 836,636/x
  3. Step 3: Cross multiply
    552,212x = 836,636 × 836,636
  4. Step 4: Simplify right side
    552,212x = 699,959,796,496
  5. Step 5: Solve for x
    x = 699,959,796,496/552,212
  6. Step 6: Final answer
    x = 1,267,556.29

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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.