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Finding the Third Proportional to 352.69 and 539.16

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Solution

The third proportional to 352.69 and 539.16 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 539.16 = 539.16 : x
  2. Step 2: Convert to fraction form
    352.69/539.16 = 539.16/x
  3. Step 3: Cross multiply
    352.69x = 539.16 × 539.16
  4. Step 4: Simplify right side
    352.69x = 290,689.46
  5. Step 5: Solve for x
    x = 290,689.46/352.69
  6. Step 6: Final answer
    x = 824.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.