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Finding the Third Proportional to 446.73 and 961.08

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Solution

The third proportional to 446.73 and 961.08 is: 2,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.73 : 961.08 = 961.08 : x
  2. Step 2: Convert to fraction form
    446.73/961.08 = 961.08/x
  3. Step 3: Cross multiply
    446.73x = 961.08 × 961.08
  4. Step 4: Simplify right side
    446.73x = 923,682.43
  5. Step 5: Solve for x
    x = 923,682.43/446.73
  6. Step 6: Final answer
    x = 2,067.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.