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Finding the Third Proportional to 611.44 and 1,003.22

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Solution

The third proportional to 611.44 and 1,003.22 is: 1,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.44 : 1,003.22 = 1,003.22 : x
  2. Step 2: Convert to fraction form
    611.44/1,003.22 = 1,003.22/x
  3. Step 3: Cross multiply
    611.44x = 1,003.22 × 1,003.22
  4. Step 4: Simplify right side
    611.44x = 1,006,447.86
  5. Step 5: Solve for x
    x = 1,006,447.86/611.44
  6. Step 6: Final answer
    x = 1,646.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.