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Finding the Third Proportional to 735.75 and 799.88

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Solution

The third proportional to 735.75 and 799.88 is: 869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 799.88 = 799.88 : x
  2. Step 2: Convert to fraction form
    735.75/799.88 = 799.88/x
  3. Step 3: Cross multiply
    735.75x = 799.88 × 799.88
  4. Step 4: Simplify right side
    735.75x = 639,800.02
  5. Step 5: Solve for x
    x = 639,800.02/735.75
  6. Step 6: Final answer
    x = 869.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.