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Finding the Third Proportional to 800.63 and 1,226.63

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Solution

The third proportional to 800.63 and 1,226.63 is: 1,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.63 : 1,226.63 = 1,226.63 : x
  2. Step 2: Convert to fraction form
    800.63/1,226.63 = 1,226.63/x
  3. Step 3: Cross multiply
    800.63x = 1,226.63 × 1,226.63
  4. Step 4: Simplify right side
    800.63x = 1,504,608.89
  5. Step 5: Solve for x
    x = 1,504,608.89/800.63
  6. Step 6: Final answer
    x = 1,879.29

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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.