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Finding the Third Proportional to 327,805 and 494,722

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Solution

The third proportional to 327,805 and 494,722 is: 746,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,805 : 494,722 = 494,722 : x
  2. Step 2: Convert to fraction form
    327,805/494,722 = 494,722/x
  3. Step 3: Cross multiply
    327,805x = 494,722 × 494,722
  4. Step 4: Simplify right side
    327,805x = 244,749,857,284
  5. Step 5: Solve for x
    x = 244,749,857,284/327,805
  6. Step 6: Final answer
    x = 746,632.47

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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.