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Finding the Third Proportional to 665.34 and 1,452.19

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Solution

The third proportional to 665.34 and 1,452.19 is: 3,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 1,452.19 = 1,452.19 : x
  2. Step 2: Convert to fraction form
    665.34/1,452.19 = 1,452.19/x
  3. Step 3: Cross multiply
    665.34x = 1,452.19 × 1,452.19
  4. Step 4: Simplify right side
    665.34x = 2,108,848.54
  5. Step 5: Solve for x
    x = 2,108,848.54/665.34
  6. Step 6: Final answer
    x = 3,169.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.