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Finding the Third Proportional to 451.31 and 764.06

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Solution

The third proportional to 451.31 and 764.06 is: 1,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.31 : 764.06 = 764.06 : x
  2. Step 2: Convert to fraction form
    451.31/764.06 = 764.06/x
  3. Step 3: Cross multiply
    451.31x = 764.06 × 764.06
  4. Step 4: Simplify right side
    451.31x = 583,791.50
  5. Step 5: Solve for x
    x = 583,791.50/451.31
  6. Step 6: Final answer
    x = 1,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.