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Finding the Third Proportional to 541 and 734.75

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Solution

The third proportional to 541 and 734.75 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 734.75 = 734.75 : x
  2. Step 2: Convert to fraction form
    541/734.75 = 734.75/x
  3. Step 3: Cross multiply
    541x = 734.75 × 734.75
  4. Step 4: Simplify right side
    541x = 539,857.56
  5. Step 5: Solve for x
    x = 539,857.56/541
  6. Step 6: Final answer
    x = 997.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.