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Finding the Third Proportional to 422.06 and 985.69

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Solution

The third proportional to 422.06 and 985.69 is: 2,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 985.69 = 985.69 : x
  2. Step 2: Convert to fraction form
    422.06/985.69 = 985.69/x
  3. Step 3: Cross multiply
    422.06x = 985.69 × 985.69
  4. Step 4: Simplify right side
    422.06x = 971,579.85
  5. Step 5: Solve for x
    x = 971,579.85/422.06
  6. Step 6: Final answer
    x = 2,301.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.