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Finding the Third Proportional to 441,888 and 691,266

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Solution

The third proportional to 441,888 and 691,266 is: 1,081,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,888 : 691,266 = 691,266 : x
  2. Step 2: Convert to fraction form
    441,888/691,266 = 691,266/x
  3. Step 3: Cross multiply
    441,888x = 691,266 × 691,266
  4. Step 4: Simplify right side
    441,888x = 477,848,682,756
  5. Step 5: Solve for x
    x = 477,848,682,756/441,888
  6. Step 6: Final answer
    x = 1,081,379.63

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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.