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Finding the Third Proportional to 911.53 and 1,369.69

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Solution

The third proportional to 911.53 and 1,369.69 is: 2,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.53 : 1,369.69 = 1,369.69 : x
  2. Step 2: Convert to fraction form
    911.53/1,369.69 = 1,369.69/x
  3. Step 3: Cross multiply
    911.53x = 1,369.69 × 1,369.69
  4. Step 4: Simplify right side
    911.53x = 1,876,043.85
  5. Step 5: Solve for x
    x = 1,876,043.85/911.53
  6. Step 6: Final answer
    x = 2,058.12

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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.