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Finding the Third Proportional to 327,149 and 492,362

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Solution

The third proportional to 327,149 and 492,362 is: 741,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,149 : 492,362 = 492,362 : x
  2. Step 2: Convert to fraction form
    327,149/492,362 = 492,362/x
  3. Step 3: Cross multiply
    327,149x = 492,362 × 492,362
  4. Step 4: Simplify right side
    327,149x = 242,420,339,044
  5. Step 5: Solve for x
    x = 242,420,339,044/327,149
  6. Step 6: Final answer
    x = 741,008.96

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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.