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Finding the Third Proportional to 352.69 and 562.22

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Solution

The third proportional to 352.69 and 562.22 is: 896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 562.22 = 562.22 : x
  2. Step 2: Convert to fraction form
    352.69/562.22 = 562.22/x
  3. Step 3: Cross multiply
    352.69x = 562.22 × 562.22
  4. Step 4: Simplify right side
    352.69x = 316,089.92
  5. Step 5: Solve for x
    x = 316,089.92/352.69
  6. Step 6: Final answer
    x = 896.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.