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Finding the Third Proportional to 518.69 and 776.44

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Solution

The third proportional to 518.69 and 776.44 is: 1,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 776.44 = 776.44 : x
  2. Step 2: Convert to fraction form
    518.69/776.44 = 776.44/x
  3. Step 3: Cross multiply
    518.69x = 776.44 × 776.44
  4. Step 4: Simplify right side
    518.69x = 602,855.19
  5. Step 5: Solve for x
    x = 602,855.19/518.69
  6. Step 6: Final answer
    x = 1,162.27

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