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Finding the Third Proportional to 546.75 and 818.44

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Solution

The third proportional to 546.75 and 818.44 is: 1,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 818.44 = 818.44 : x
  2. Step 2: Convert to fraction form
    546.75/818.44 = 818.44/x
  3. Step 3: Cross multiply
    546.75x = 818.44 × 818.44
  4. Step 4: Simplify right side
    546.75x = 669,839.94
  5. Step 5: Solve for x
    x = 669,839.94/546.75
  6. Step 6: Final answer
    x = 1,225.13

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