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Finding the Third Proportional to 466.07 and 996.92

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Solution

The third proportional to 466.07 and 996.92 is: 2,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.07 : 996.92 = 996.92 : x
  2. Step 2: Convert to fraction form
    466.07/996.92 = 996.92/x
  3. Step 3: Cross multiply
    466.07x = 996.92 × 996.92
  4. Step 4: Simplify right side
    466.07x = 993,843.49
  5. Step 5: Solve for x
    x = 993,843.49/466.07
  6. Step 6: Final answer
    x = 2,132.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.