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Finding the Third Proportional to 335.76 and 739.86

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Solution

The third proportional to 335.76 and 739.86 is: 1,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 739.86 = 739.86 : x
  2. Step 2: Convert to fraction form
    335.76/739.86 = 739.86/x
  3. Step 3: Cross multiply
    335.76x = 739.86 × 739.86
  4. Step 4: Simplify right side
    335.76x = 547,387.92
  5. Step 5: Solve for x
    x = 547,387.92/335.76
  6. Step 6: Final answer
    x = 1,630.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.