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Finding the Third Proportional to 441.28 and 950.48

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Solution

The third proportional to 441.28 and 950.48 is: 2,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.28 : 950.48 = 950.48 : x
  2. Step 2: Convert to fraction form
    441.28/950.48 = 950.48/x
  3. Step 3: Cross multiply
    441.28x = 950.48 × 950.48
  4. Step 4: Simplify right side
    441.28x = 903,420.55
  5. Step 5: Solve for x
    x = 903,420.55/441.28
  6. Step 6: Final answer
    x = 2,047.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.