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Finding the Third Proportional to 369.56 and 764.44

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Solution

The third proportional to 369.56 and 764.44 is: 1,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 764.44 = 764.44 : x
  2. Step 2: Convert to fraction form
    369.56/764.44 = 764.44/x
  3. Step 3: Cross multiply
    369.56x = 764.44 × 764.44
  4. Step 4: Simplify right side
    369.56x = 584,364.69
  5. Step 5: Solve for x
    x = 584,364.69/369.56
  6. Step 6: Final answer
    x = 1,581.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.