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Finding the Third Proportional to 446.63 and 961.69

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Solution

The third proportional to 446.63 and 961.69 is: 2,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 961.69 = 961.69 : x
  2. Step 2: Convert to fraction form
    446.63/961.69 = 961.69/x
  3. Step 3: Cross multiply
    446.63x = 961.69 × 961.69
  4. Step 4: Simplify right side
    446.63x = 924,842.85
  5. Step 5: Solve for x
    x = 924,842.85/446.63
  6. Step 6: Final answer
    x = 2,070.74

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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.