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Finding the Third Proportional to 701.06 and 1,099.83

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Solution

The third proportional to 701.06 and 1,099.83 is: 1,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 1,099.83 = 1,099.83 : x
  2. Step 2: Convert to fraction form
    701.06/1,099.83 = 1,099.83/x
  3. Step 3: Cross multiply
    701.06x = 1,099.83 × 1,099.83
  4. Step 4: Simplify right side
    701.06x = 1,209,621.90
  5. Step 5: Solve for x
    x = 1,209,621.90/701.06
  6. Step 6: Final answer
    x = 1,725.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.