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Finding the Third Proportional to 764.25 and 1,804.69

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Solution

The third proportional to 764.25 and 1,804.69 is: 4,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.25 : 1,804.69 = 1,804.69 : x
  2. Step 2: Convert to fraction form
    764.25/1,804.69 = 1,804.69/x
  3. Step 3: Cross multiply
    764.25x = 1,804.69 × 1,804.69
  4. Step 4: Simplify right side
    764.25x = 3,256,896.97
  5. Step 5: Solve for x
    x = 3,256,896.97/764.25
  6. Step 6: Final answer
    x = 4,261.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.