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Finding the Third Proportional to 352.69 and 474.19

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Solution

The third proportional to 352.69 and 474.19 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 474.19 = 474.19 : x
  2. Step 2: Convert to fraction form
    352.69/474.19 = 474.19/x
  3. Step 3: Cross multiply
    352.69x = 474.19 × 474.19
  4. Step 4: Simplify right side
    352.69x = 224,853.79
  5. Step 5: Solve for x
    x = 224,853.79/352.69
  6. Step 6: Final answer
    x = 637.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.