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Finding the Third Proportional to 422.63 and 924.38

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Solution

The third proportional to 422.63 and 924.38 is: 2,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 924.38 = 924.38 : x
  2. Step 2: Convert to fraction form
    422.63/924.38 = 924.38/x
  3. Step 3: Cross multiply
    422.63x = 924.38 × 924.38
  4. Step 4: Simplify right side
    422.63x = 854,469.14
  5. Step 5: Solve for x
    x = 854,469.14/422.63
  6. Step 6: Final answer
    x = 2,021.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.