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Finding the Third Proportional to 471.38 and 1,022.34

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Solution

The third proportional to 471.38 and 1,022.34 is: 2,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.38 : 1,022.34 = 1,022.34 : x
  2. Step 2: Convert to fraction form
    471.38/1,022.34 = 1,022.34/x
  3. Step 3: Cross multiply
    471.38x = 1,022.34 × 1,022.34
  4. Step 4: Simplify right side
    471.38x = 1,045,186.74
  5. Step 5: Solve for x
    x = 1,045,186.74/471.38
  6. Step 6: Final answer
    x = 2,217.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.