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Finding the Third Proportional to 375,738.75 and 764,601.75

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Solution

The third proportional to 375,738.75 and 764,601.75 is: 1,555,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,738.75 : 764,601.75 = 764,601.75 : x
  2. Step 2: Convert to fraction form
    375,738.75/764,601.75 = 764,601.75/x
  3. Step 3: Cross multiply
    375,738.75x = 764,601.75 × 764,601.75
  4. Step 4: Simplify right side
    375,738.75x = 584,615,836,103.06
  5. Step 5: Solve for x
    x = 584,615,836,103.06/375,738.75
  6. Step 6: Final answer
    x = 1,555,910.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.