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Finding the Third Proportional to 369 and 552.69

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Solution

The third proportional to 369 and 552.69 is: 827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 552.69 = 552.69 : x
  2. Step 2: Convert to fraction form
    369/552.69 = 552.69/x
  3. Step 3: Cross multiply
    369x = 552.69 × 552.69
  4. Step 4: Simplify right side
    369x = 305,463.47
  5. Step 5: Solve for x
    x = 305,463.47/369
  6. Step 6: Final answer
    x = 827.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.