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Finding the Third Proportional to 327,776 and 494,661

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Solution

The third proportional to 327,776 and 494,661 is: 746,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,776 : 494,661 = 494,661 : x
  2. Step 2: Convert to fraction form
    327,776/494,661 = 494,661/x
  3. Step 3: Cross multiply
    327,776x = 494,661 × 494,661
  4. Step 4: Simplify right side
    327,776x = 244,689,504,921
  5. Step 5: Solve for x
    x = 244,689,504,921/327,776
  6. Step 6: Final answer
    x = 746,514.40

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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.