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Finding the Third Proportional to 440.44 and 949.22

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Solution

The third proportional to 440.44 and 949.22 is: 2,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.44 : 949.22 = 949.22 : x
  2. Step 2: Convert to fraction form
    440.44/949.22 = 949.22/x
  3. Step 3: Cross multiply
    440.44x = 949.22 × 949.22
  4. Step 4: Simplify right side
    440.44x = 901,016.24
  5. Step 5: Solve for x
    x = 901,016.24/440.44
  6. Step 6: Final answer
    x = 2,045.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.