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Finding the Third Proportional to 327,805.50 and 494,723.63

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Solution

The third proportional to 327,805.50 and 494,723.63 is: 746,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,805.50 : 494,723.63 = 494,723.63 : x
  2. Step 2: Convert to fraction form
    327,805.50/494,723.63 = 494,723.63/x
  3. Step 3: Cross multiply
    327,805.50x = 494,723.63 × 494,723.63
  4. Step 4: Simplify right side
    327,805.50x = 244,751,465,133.14
  5. Step 5: Solve for x
    x = 244,751,465,133.14/327,805.50
  6. Step 6: Final answer
    x = 746,636.24

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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.