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Finding the Third Proportional to 552,206 and 836,625

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Solution

The third proportional to 552,206 and 836,625 is: 1,267,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,206 : 836,625 = 836,625 : x
  2. Step 2: Convert to fraction form
    552,206/836,625 = 836,625/x
  3. Step 3: Cross multiply
    552,206x = 836,625 × 836,625
  4. Step 4: Simplify right side
    552,206x = 699,941,390,625
  5. Step 5: Solve for x
    x = 699,941,390,625/552,206
  6. Step 6: Final answer
    x = 1,267,536.74

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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.