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Finding the Third Proportional to 771.38 and 1,183.13

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Solution

The third proportional to 771.38 and 1,183.13 is: 1,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,183.13 = 1,183.13 : x
  2. Step 2: Convert to fraction form
    771.38/1,183.13 = 1,183.13/x
  3. Step 3: Cross multiply
    771.38x = 1,183.13 × 1,183.13
  4. Step 4: Simplify right side
    771.38x = 1,399,784.77
  5. Step 5: Solve for x
    x = 1,399,784.77/771.38
  6. Step 6: Final answer
    x = 1,814.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.