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Finding the Third Proportional to 605.81 and 729.84

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Solution

The third proportional to 605.81 and 729.84 is: 879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 729.84 = 729.84 : x
  2. Step 2: Convert to fraction form
    605.81/729.84 = 729.84/x
  3. Step 3: Cross multiply
    605.81x = 729.84 × 729.84
  4. Step 4: Simplify right side
    605.81x = 532,671.90
  5. Step 5: Solve for x
    x = 532,671.90/605.81
  6. Step 6: Final answer
    x = 879.27

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.