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Finding the Third Proportional to 321,195 and 691,722

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Solution

The third proportional to 321,195 and 691,722 is: 1,489,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,195 : 691,722 = 691,722 : x
  2. Step 2: Convert to fraction form
    321,195/691,722 = 691,722/x
  3. Step 3: Cross multiply
    321,195x = 691,722 × 691,722
  4. Step 4: Simplify right side
    321,195x = 478,479,325,284
  5. Step 5: Solve for x
    x = 478,479,325,284/321,195
  6. Step 6: Final answer
    x = 1,489,684.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.