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Finding the Third Proportional to 327,537 and 694,438.88

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Solution

The third proportional to 327,537 and 694,438.88 is: 1,472,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,537 : 694,438.88 = 694,438.88 : x
  2. Step 2: Convert to fraction form
    327,537/694,438.88 = 694,438.88/x
  3. Step 3: Cross multiply
    327,537x = 694,438.88 × 694,438.88
  4. Step 4: Simplify right side
    327,537x = 482,245,351,111.27
  5. Step 5: Solve for x
    x = 482,245,351,111.27/327,537
  6. Step 6: Final answer
    x = 1,472,338.55

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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.