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Finding the Third Proportional to 526,198 and 820,098

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Solution

The third proportional to 526,198 and 820,098 is: 1,278,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,198 : 820,098 = 820,098 : x
  2. Step 2: Convert to fraction form
    526,198/820,098 = 820,098/x
  3. Step 3: Cross multiply
    526,198x = 820,098 × 820,098
  4. Step 4: Simplify right side
    526,198x = 672,560,729,604
  5. Step 5: Solve for x
    x = 672,560,729,604/526,198
  6. Step 6: Final answer
    x = 1,278,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.