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Finding the Third Proportional to 739.22 and 1,603.41

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Solution

The third proportional to 739.22 and 1,603.41 is: 3,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.22 : 1,603.41 = 1,603.41 : x
  2. Step 2: Convert to fraction form
    739.22/1,603.41 = 1,603.41/x
  3. Step 3: Cross multiply
    739.22x = 1,603.41 × 1,603.41
  4. Step 4: Simplify right side
    739.22x = 2,570,911.60
  5. Step 5: Solve for x
    x = 2,570,911.60/739.22
  6. Step 6: Final answer
    x = 3,477.88

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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.