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Finding the Third Proportional to 735.75 and 806.63

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Solution

The third proportional to 735.75 and 806.63 is: 884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 806.63 = 806.63 : x
  2. Step 2: Convert to fraction form
    735.75/806.63 = 806.63/x
  3. Step 3: Cross multiply
    735.75x = 806.63 × 806.63
  4. Step 4: Simplify right side
    735.75x = 650,643.89
  5. Step 5: Solve for x
    x = 650,643.89/735.75
  6. Step 6: Final answer
    x = 884.33

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.