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Finding the Third Proportional to 739.44 and 1,594.16

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Solution

The third proportional to 739.44 and 1,594.16 is: 3,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.44 : 1,594.16 = 1,594.16 : x
  2. Step 2: Convert to fraction form
    739.44/1,594.16 = 1,594.16/x
  3. Step 3: Cross multiply
    739.44x = 1,594.16 × 1,594.16
  4. Step 4: Simplify right side
    739.44x = 2,541,346.60
  5. Step 5: Solve for x
    x = 2,541,346.60/739.44
  6. Step 6: Final answer
    x = 3,436.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.