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Finding the Third Proportional to 263,944.13 and 576,286.88

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Solution

The third proportional to 263,944.13 and 576,286.88 is: 1,258,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,944.13 : 576,286.88 = 576,286.88 : x
  2. Step 2: Convert to fraction form
    263,944.13/576,286.88 = 576,286.88/x
  3. Step 3: Cross multiply
    263,944.13x = 576,286.88 × 576,286.88
  4. Step 4: Simplify right side
    263,944.13x = 332,106,562,297.27
  5. Step 5: Solve for x
    x = 332,106,562,297.27/263,944.13
  6. Step 6: Final answer
    x = 1,258,245.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.