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Finding the Third Proportional to 327,152.25 and 492,366.38

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Solution

The third proportional to 327,152.25 and 492,366.38 is: 741,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,152.25 : 492,366.38 = 492,366.38 : x
  2. Step 2: Convert to fraction form
    327,152.25/492,366.38 = 492,366.38/x
  3. Step 3: Cross multiply
    327,152.25x = 492,366.38 × 492,366.38
  4. Step 4: Simplify right side
    327,152.25x = 242,424,647,230.64
  5. Step 5: Solve for x
    x = 242,424,647,230.64/327,152.25
  6. Step 6: Final answer
    x = 741,014.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.