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Finding the Third Proportional to 353.44 and 483.09

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Solution

The third proportional to 353.44 and 483.09 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 483.09 = 483.09 : x
  2. Step 2: Convert to fraction form
    353.44/483.09 = 483.09/x
  3. Step 3: Cross multiply
    353.44x = 483.09 × 483.09
  4. Step 4: Simplify right side
    353.44x = 233,379.57
  5. Step 5: Solve for x
    x = 233,379.57/353.44
  6. Step 6: Final answer
    x = 660.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.