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Finding the Third Proportional to 764.26 and 1,148.08

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Solution

The third proportional to 764.26 and 1,148.08 is: 1,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.26 : 1,148.08 = 1,148.08 : x
  2. Step 2: Convert to fraction form
    764.26/1,148.08 = 1,148.08/x
  3. Step 3: Cross multiply
    764.26x = 1,148.08 × 1,148.08
  4. Step 4: Simplify right side
    764.26x = 1,318,087.87
  5. Step 5: Solve for x
    x = 1,318,087.87/764.26
  6. Step 6: Final answer
    x = 1,724.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.