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Finding the Third Proportional to 564.19 and 793.69

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Solution

The third proportional to 564.19 and 793.69 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 793.69 = 793.69 : x
  2. Step 2: Convert to fraction form
    564.19/793.69 = 793.69/x
  3. Step 3: Cross multiply
    564.19x = 793.69 × 793.69
  4. Step 4: Simplify right side
    564.19x = 629,939.85
  5. Step 5: Solve for x
    x = 629,939.85/564.19
  6. Step 6: Final answer
    x = 1,116.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.