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Finding the Third Proportional to 352.69 and 476.72

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Solution

The third proportional to 352.69 and 476.72 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 476.72 = 476.72 : x
  2. Step 2: Convert to fraction form
    352.69/476.72 = 476.72/x
  3. Step 3: Cross multiply
    352.69x = 476.72 × 476.72
  4. Step 4: Simplify right side
    352.69x = 227,260.77
  5. Step 5: Solve for x
    x = 227,260.77/352.69
  6. Step 6: Final answer
    x = 644.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.