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Finding the Third Proportional to 768.09 and 1,174.22

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Solution

The third proportional to 768.09 and 1,174.22 is: 1,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.09 : 1,174.22 = 1,174.22 : x
  2. Step 2: Convert to fraction form
    768.09/1,174.22 = 1,174.22/x
  3. Step 3: Cross multiply
    768.09x = 1,174.22 × 1,174.22
  4. Step 4: Simplify right side
    768.09x = 1,378,789.67
  5. Step 5: Solve for x
    x = 1,378,789.67/768.09
  6. Step 6: Final answer
    x = 1,795.08

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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.