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Finding the Third Proportional to 773.86 and 1,805.91

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Solution

The third proportional to 773.86 and 1,805.91 is: 4,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.86 : 1,805.91 = 1,805.91 : x
  2. Step 2: Convert to fraction form
    773.86/1,805.91 = 1,805.91/x
  3. Step 3: Cross multiply
    773.86x = 1,805.91 × 1,805.91
  4. Step 4: Simplify right side
    773.86x = 3,261,297.38
  5. Step 5: Solve for x
    x = 3,261,297.38/773.86
  6. Step 6: Final answer
    x = 4,214.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.