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Finding the Third Proportional to 408 and 657.09

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Solution

The third proportional to 408 and 657.09 is: 1,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 657.09 = 657.09 : x
  2. Step 2: Convert to fraction form
    408/657.09 = 657.09/x
  3. Step 3: Cross multiply
    408x = 657.09 × 657.09
  4. Step 4: Simplify right side
    408x = 431,772.20
  5. Step 5: Solve for x
    x = 431,772.20/408
  6. Step 6: Final answer
    x = 1,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.