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Finding the Third Proportional to 446.28 and 961.06

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Solution

The third proportional to 446.28 and 961.06 is: 2,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 961.06 = 961.06 : x
  2. Step 2: Convert to fraction form
    446.28/961.06 = 961.06/x
  3. Step 3: Cross multiply
    446.28x = 961.06 × 961.06
  4. Step 4: Simplify right side
    446.28x = 923,641.13
  5. Step 5: Solve for x
    x = 923,641.13/446.28
  6. Step 6: Final answer
    x = 2,069.64

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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.