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Finding the Third Proportional to 448.45 and 965.57

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Solution

The third proportional to 448.45 and 965.57 is: 2,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 965.57 = 965.57 : x
  2. Step 2: Convert to fraction form
    448.45/965.57 = 965.57/x
  3. Step 3: Cross multiply
    448.45x = 965.57 × 965.57
  4. Step 4: Simplify right side
    448.45x = 932,318.48
  5. Step 5: Solve for x
    x = 932,318.48/448.45
  6. Step 6: Final answer
    x = 2,078.97

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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.