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Finding the Third Proportional to 327,084 and 492,570

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Solution

The third proportional to 327,084 and 492,570 is: 741,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,084 : 492,570 = 492,570 : x
  2. Step 2: Convert to fraction form
    327,084/492,570 = 492,570/x
  3. Step 3: Cross multiply
    327,084x = 492,570 × 492,570
  4. Step 4: Simplify right side
    327,084x = 242,625,204,900
  5. Step 5: Solve for x
    x = 242,625,204,900/327,084
  6. Step 6: Final answer
    x = 741,782.55

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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.