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Finding the Third Proportional to 327,570.75 and 694,507.50

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Solution

The third proportional to 327,570.75 and 694,507.50 is: 1,472,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,570.75 : 694,507.50 = 694,507.50 : x
  2. Step 2: Convert to fraction form
    327,570.75/694,507.50 = 694,507.50/x
  3. Step 3: Cross multiply
    327,570.75x = 694,507.50 × 694,507.50
  4. Step 4: Simplify right side
    327,570.75x = 482,340,667,556.25
  5. Step 5: Solve for x
    x = 482,340,667,556.25/327,570.75
  6. Step 6: Final answer
    x = 1,472,477.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.