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Finding the Third Proportional to 393,933.38 and 768,183.75

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Solution

The third proportional to 393,933.38 and 768,183.75 is: 1,497,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,933.38 : 768,183.75 = 768,183.75 : x
  2. Step 2: Convert to fraction form
    393,933.38/768,183.75 = 768,183.75/x
  3. Step 3: Cross multiply
    393,933.38x = 768,183.75 × 768,183.75
  4. Step 4: Simplify right side
    393,933.38x = 590,106,273,764.06
  5. Step 5: Solve for x
    x = 590,106,273,764.06/393,933.38
  6. Step 6: Final answer
    x = 1,497,984.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.