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Finding the Third Proportional to 759.25 and 1,644.44

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Solution

The third proportional to 759.25 and 1,644.44 is: 3,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.25 : 1,644.44 = 1,644.44 : x
  2. Step 2: Convert to fraction form
    759.25/1,644.44 = 1,644.44/x
  3. Step 3: Cross multiply
    759.25x = 1,644.44 × 1,644.44
  4. Step 4: Simplify right side
    759.25x = 2,704,174.69
  5. Step 5: Solve for x
    x = 2,704,174.69/759.25
  6. Step 6: Final answer
    x = 3,561.64

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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.