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Finding the Third Proportional to 286 and 755

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Solution

The third proportional to 286 and 755 is: 1,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 755 = 755 : x
  2. Step 2: Convert to fraction form
    286/755 = 755/x
  3. Step 3: Cross multiply
    286x = 755 × 755
  4. Step 4: Simplify right side
    286x = 570,025
  5. Step 5: Solve for x
    x = 570,025/286
  6. Step 6: Final answer
    x = 1,993.09

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These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.