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Finding the Third Proportional to 367.88 and 806.63

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Solution

The third proportional to 367.88 and 806.63 is: 1,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 806.63 = 806.63 : x
  2. Step 2: Convert to fraction form
    367.88/806.63 = 806.63/x
  3. Step 3: Cross multiply
    367.88x = 806.63 × 806.63
  4. Step 4: Simplify right side
    367.88x = 650,643.89
  5. Step 5: Solve for x
    x = 650,643.89/367.88
  6. Step 6: Final answer
    x = 1,768.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.