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Finding the Third Proportional to 327,537 and 694,435.50

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Solution

The third proportional to 327,537 and 694,435.50 is: 1,472,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,537 : 694,435.50 = 694,435.50 : x
  2. Step 2: Convert to fraction form
    327,537/694,435.50 = 694,435.50/x
  3. Step 3: Cross multiply
    327,537x = 694,435.50 × 694,435.50
  4. Step 4: Simplify right side
    327,537x = 482,240,663,660.25
  5. Step 5: Solve for x
    x = 482,240,663,660.25/327,537
  6. Step 6: Final answer
    x = 1,472,324.24

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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.