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Finding the Third Proportional to 727.22 and 1,003.80

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Solution

The third proportional to 727.22 and 1,003.80 is: 1,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,003.80 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    727.22/1,003.80 = 1,003.80/x
  3. Step 3: Cross multiply
    727.22x = 1,003.80 × 1,003.80
  4. Step 4: Simplify right side
    727.22x = 1,007,612.09
  5. Step 5: Solve for x
    x = 1,007,612.09/727.22
  6. Step 6: Final answer
    x = 1,385.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.