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Finding the Third Proportional to 739.23 and 1,625.03

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Solution

The third proportional to 739.23 and 1,625.03 is: 3,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.23 : 1,625.03 = 1,625.03 : x
  2. Step 2: Convert to fraction form
    739.23/1,625.03 = 1,625.03/x
  3. Step 3: Cross multiply
    739.23x = 1,625.03 × 1,625.03
  4. Step 4: Simplify right side
    739.23x = 2,640,731.72
  5. Step 5: Solve for x
    x = 2,640,731.72/739.23
  6. Step 6: Final answer
    x = 3,572.26

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Why These Related Problems?

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