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Finding the Third Proportional to 546.19 and 821.81

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Solution

The third proportional to 546.19 and 821.81 is: 1,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 821.81 = 821.81 : x
  2. Step 2: Convert to fraction form
    546.19/821.81 = 821.81/x
  3. Step 3: Cross multiply
    546.19x = 821.81 × 821.81
  4. Step 4: Simplify right side
    546.19x = 675,375.79
  5. Step 5: Solve for x
    x = 675,375.79/546.19
  6. Step 6: Final answer
    x = 1,236.53

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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.