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Finding the Third Proportional to 366.82 and 772.14

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Solution

The third proportional to 366.82 and 772.14 is: 1,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 772.14 = 772.14 : x
  2. Step 2: Convert to fraction form
    366.82/772.14 = 772.14/x
  3. Step 3: Cross multiply
    366.82x = 772.14 × 772.14
  4. Step 4: Simplify right side
    366.82x = 596,195.11
  5. Step 5: Solve for x
    x = 596,195.11/366.82
  6. Step 6: Final answer
    x = 1,625.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.