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Finding the Third Proportional to 327,152 and 492,366

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Solution

The third proportional to 327,152 and 492,366 is: 741,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,152 : 492,366 = 492,366 : x
  2. Step 2: Convert to fraction form
    327,152/492,366 = 492,366/x
  3. Step 3: Cross multiply
    327,152x = 492,366 × 492,366
  4. Step 4: Simplify right side
    327,152x = 242,424,277,956
  5. Step 5: Solve for x
    x = 242,424,277,956/327,152
  6. Step 6: Final answer
    x = 741,014.20

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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.