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Finding the Third Proportional to 422.31 and 887.06

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Solution

The third proportional to 422.31 and 887.06 is: 1,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 887.06 = 887.06 : x
  2. Step 2: Convert to fraction form
    422.31/887.06 = 887.06/x
  3. Step 3: Cross multiply
    422.31x = 887.06 × 887.06
  4. Step 4: Simplify right side
    422.31x = 786,879.88
  5. Step 5: Solve for x
    x = 786,879.88/422.31
  6. Step 6: Final answer
    x = 1,863.26

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Why These Related Problems?

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