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Finding the Third Proportional to 735.19 and 1,591.88

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Solution

The third proportional to 735.19 and 1,591.88 is: 3,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.19 : 1,591.88 = 1,591.88 : x
  2. Step 2: Convert to fraction form
    735.19/1,591.88 = 1,591.88/x
  3. Step 3: Cross multiply
    735.19x = 1,591.88 × 1,591.88
  4. Step 4: Simplify right side
    735.19x = 2,534,066.02
  5. Step 5: Solve for x
    x = 2,534,066.02/735.19
  6. Step 6: Final answer
    x = 3,446.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.