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Finding the Third Proportional to 327,840 and 494,772

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Solution

The third proportional to 327,840 and 494,772 is: 746,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,840 : 494,772 = 494,772 : x
  2. Step 2: Convert to fraction form
    327,840/494,772 = 494,772/x
  3. Step 3: Cross multiply
    327,840x = 494,772 × 494,772
  4. Step 4: Simplify right side
    327,840x = 244,799,331,984
  5. Step 5: Solve for x
    x = 244,799,331,984/327,840
  6. Step 6: Final answer
    x = 746,703.67

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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.