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Finding the Third Proportional to 466.80 and 664.14

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Solution

The third proportional to 466.80 and 664.14 is: 944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.80 : 664.14 = 664.14 : x
  2. Step 2: Convert to fraction form
    466.80/664.14 = 664.14/x
  3. Step 3: Cross multiply
    466.80x = 664.14 × 664.14
  4. Step 4: Simplify right side
    466.80x = 441,077.58
  5. Step 5: Solve for x
    x = 441,077.58/466.80
  6. Step 6: Final answer
    x = 944.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.