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Finding the Third Proportional to 447.12 and 968.67

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Solution

The third proportional to 447.12 and 968.67 is: 2,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 968.67 = 968.67 : x
  2. Step 2: Convert to fraction form
    447.12/968.67 = 968.67/x
  3. Step 3: Cross multiply
    447.12x = 968.67 × 968.67
  4. Step 4: Simplify right side
    447.12x = 938,325.20
  5. Step 5: Solve for x
    x = 938,325.20/447.12
  6. Step 6: Final answer
    x = 2,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.