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Finding the Third Proportional to 804.94 and 1,183.78

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Solution

The third proportional to 804.94 and 1,183.78 is: 1,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,183.78 = 1,183.78 : x
  2. Step 2: Convert to fraction form
    804.94/1,183.78 = 1,183.78/x
  3. Step 3: Cross multiply
    804.94x = 1,183.78 × 1,183.78
  4. Step 4: Simplify right side
    804.94x = 1,401,338.05
  5. Step 5: Solve for x
    x = 1,401,338.05/804.94
  6. Step 6: Final answer
    x = 1,740.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.