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Finding the Third Proportional to 793.69 and 1,026.84

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Solution

The third proportional to 793.69 and 1,026.84 is: 1,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.69 : 1,026.84 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    793.69/1,026.84 = 1,026.84/x
  3. Step 3: Cross multiply
    793.69x = 1,026.84 × 1,026.84
  4. Step 4: Simplify right side
    793.69x = 1,054,408.09
  5. Step 5: Solve for x
    x = 1,054,408.09/793.69
  6. Step 6: Final answer
    x = 1,328.49

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.