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Finding the Third Proportional to 382.69 and 825.94

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Solution

The third proportional to 382.69 and 825.94 is: 1,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 825.94 = 825.94 : x
  2. Step 2: Convert to fraction form
    382.69/825.94 = 825.94/x
  3. Step 3: Cross multiply
    382.69x = 825.94 × 825.94
  4. Step 4: Simplify right side
    382.69x = 682,172.75
  5. Step 5: Solve for x
    x = 682,172.75/382.69
  6. Step 6: Final answer
    x = 1,782.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.