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Finding the Third Proportional to 313,589.25 and 667,631.25

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Solution

The third proportional to 313,589.25 and 667,631.25 is: 1,421,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589.25 : 667,631.25 = 667,631.25 : x
  2. Step 2: Convert to fraction form
    313,589.25/667,631.25 = 667,631.25/x
  3. Step 3: Cross multiply
    313,589.25x = 667,631.25 × 667,631.25
  4. Step 4: Simplify right side
    313,589.25x = 445,731,485,976.56
  5. Step 5: Solve for x
    x = 445,731,485,976.56/313,589.25
  6. Step 6: Final answer
    x = 1,421,386.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.