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Finding the Third Proportional to 1,405.27 and 2,944.27

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Solution

The third proportional to 1,405.27 and 2,944.27 is: 6,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.27 : 2,944.27 = 2,944.27 : x
  2. Step 2: Convert to fraction form
    1,405.27/2,944.27 = 2,944.27/x
  3. Step 3: Cross multiply
    1,405.27x = 2,944.27 × 2,944.27
  4. Step 4: Simplify right side
    1,405.27x = 8,668,700.07
  5. Step 5: Solve for x
    x = 8,668,700.07/1,405.27
  6. Step 6: Final answer
    x = 6,168.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.