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Finding the Third Proportional to 352.69 and 542.53

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Solution

The third proportional to 352.69 and 542.53 is: 834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 542.53 = 542.53 : x
  2. Step 2: Convert to fraction form
    352.69/542.53 = 542.53/x
  3. Step 3: Cross multiply
    352.69x = 542.53 × 542.53
  4. Step 4: Simplify right side
    352.69x = 294,340.16
  5. Step 5: Solve for x
    x = 294,340.16/352.69
  6. Step 6: Final answer
    x = 834.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.