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Finding the Third Proportional to 313,679.25 and 471,227.63

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Solution

The third proportional to 313,679.25 and 471,227.63 is: 707,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,679.25 : 471,227.63 = 471,227.63 : x
  2. Step 2: Convert to fraction form
    313,679.25/471,227.63 = 471,227.63/x
  3. Step 3: Cross multiply
    313,679.25x = 471,227.63 × 471,227.63
  4. Step 4: Simplify right side
    313,679.25x = 222,055,474,563.14
  5. Step 5: Solve for x
    x = 222,055,474,563.14/313,679.25
  6. Step 6: Final answer
    x = 707,906.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.