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Finding the Third Proportional to 327,572.25 and 694,503.75

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Solution

The third proportional to 327,572.25 and 694,503.75 is: 1,472,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,572.25 : 694,503.75 = 694,503.75 : x
  2. Step 2: Convert to fraction form
    327,572.25/694,503.75 = 694,503.75/x
  3. Step 3: Cross multiply
    327,572.25x = 694,503.75 × 694,503.75
  4. Step 4: Simplify right side
    327,572.25x = 482,335,458,764.06
  5. Step 5: Solve for x
    x = 482,335,458,764.06/327,572.25
  6. Step 6: Final answer
    x = 1,472,455.19

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