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Finding the Third Proportional to 327,569.06 and 694,499.06

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Solution

The third proportional to 327,569.06 and 694,499.06 is: 1,472,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,569.06 : 694,499.06 = 694,499.06 : x
  2. Step 2: Convert to fraction form
    327,569.06/694,499.06 = 694,499.06/x
  3. Step 3: Cross multiply
    327,569.06x = 694,499.06 × 694,499.06
  4. Step 4: Simplify right side
    327,569.06x = 482,328,947,813.38
  5. Step 5: Solve for x
    x = 482,328,947,813.38/327,569.06
  6. Step 6: Final answer
    x = 1,472,449.64

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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.