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Finding the Third Proportional to 311,035 and 635,193

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Solution

The third proportional to 311,035 and 635,193 is: 1,297,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,035 : 635,193 = 635,193 : x
  2. Step 2: Convert to fraction form
    311,035/635,193 = 635,193/x
  3. Step 3: Cross multiply
    311,035x = 635,193 × 635,193
  4. Step 4: Simplify right side
    311,035x = 403,470,147,249
  5. Step 5: Solve for x
    x = 403,470,147,249/311,035
  6. Step 6: Final answer
    x = 1,297,185.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.