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Finding the Third Proportional to 263,148.75 and 576,375.75

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Solution

The third proportional to 263,148.75 and 576,375.75 is: 1,262,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,148.75 : 576,375.75 = 576,375.75 : x
  2. Step 2: Convert to fraction form
    263,148.75/576,375.75 = 576,375.75/x
  3. Step 3: Cross multiply
    263,148.75x = 576,375.75 × 576,375.75
  4. Step 4: Simplify right side
    263,148.75x = 332,209,005,188.06
  5. Step 5: Solve for x
    x = 332,209,005,188.06/263,148.75
  6. Step 6: Final answer
    x = 1,262,438.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.