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Finding the Third Proportional to 327,660 and 494,501

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Solution

The third proportional to 327,660 and 494,501 is: 746,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,660 : 494,501 = 494,501 : x
  2. Step 2: Convert to fraction form
    327,660/494,501 = 494,501/x
  3. Step 3: Cross multiply
    327,660x = 494,501 × 494,501
  4. Step 4: Simplify right side
    327,660x = 244,531,239,001
  5. Step 5: Solve for x
    x = 244,531,239,001/327,660
  6. Step 6: Final answer
    x = 746,295.67

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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.