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Finding the Third Proportional to 447 and 711.25

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Solution

The third proportional to 447 and 711.25 is: 1,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 711.25 = 711.25 : x
  2. Step 2: Convert to fraction form
    447/711.25 = 711.25/x
  3. Step 3: Cross multiply
    447x = 711.25 × 711.25
  4. Step 4: Simplify right side
    447x = 505,876.56
  5. Step 5: Solve for x
    x = 505,876.56/447
  6. Step 6: Final answer
    x = 1,131.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.