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Finding the Third Proportional to 327,608 and 493,723

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Solution

The third proportional to 327,608 and 493,723 is: 744,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,608 : 493,723 = 493,723 : x
  2. Step 2: Convert to fraction form
    327,608/493,723 = 493,723/x
  3. Step 3: Cross multiply
    327,608x = 493,723 × 493,723
  4. Step 4: Simplify right side
    327,608x = 243,762,400,729
  5. Step 5: Solve for x
    x = 243,762,400,729/327,608
  6. Step 6: Final answer
    x = 744,067.30

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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.