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Finding the Third Proportional to 441,831 and 691,177

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Solution

The third proportional to 441,831 and 691,177 is: 1,081,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,831 : 691,177 = 691,177 : x
  2. Step 2: Convert to fraction form
    441,831/691,177 = 691,177/x
  3. Step 3: Cross multiply
    441,831x = 691,177 × 691,177
  4. Step 4: Simplify right side
    441,831x = 477,725,645,329
  5. Step 5: Solve for x
    x = 477,725,645,329/441,831
  6. Step 6: Final answer
    x = 1,081,240.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.