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Finding the Third Proportional to 241,451 and 327,923

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Solution

The third proportional to 241,451 and 327,923 is: 445,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,451 : 327,923 = 327,923 : x
  2. Step 2: Convert to fraction form
    241,451/327,923 = 327,923/x
  3. Step 3: Cross multiply
    241,451x = 327,923 × 327,923
  4. Step 4: Simplify right side
    241,451x = 107,533,493,929
  5. Step 5: Solve for x
    x = 107,533,493,929/241,451
  6. Step 6: Final answer
    x = 445,363.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.