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Finding the Third Proportional to 471.28 and 955.22

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Solution

The third proportional to 471.28 and 955.22 is: 1,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 955.22 = 955.22 : x
  2. Step 2: Convert to fraction form
    471.28/955.22 = 955.22/x
  3. Step 3: Cross multiply
    471.28x = 955.22 × 955.22
  4. Step 4: Simplify right side
    471.28x = 912,442.86
  5. Step 5: Solve for x
    x = 912,442.86/471.28
  6. Step 6: Final answer
    x = 1,936.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.