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Finding the Third Proportional to 303.96 and 664.66

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Solution

The third proportional to 303.96 and 664.66 is: 1,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 664.66 = 664.66 : x
  2. Step 2: Convert to fraction form
    303.96/664.66 = 664.66/x
  3. Step 3: Cross multiply
    303.96x = 664.66 × 664.66
  4. Step 4: Simplify right side
    303.96x = 441,778.32
  5. Step 5: Solve for x
    x = 441,778.32/303.96
  6. Step 6: Final answer
    x = 1,453.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.