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Finding the Third Proportional to 270,508.36 and 422,139.09

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Solution

The third proportional to 270,508.36 and 422,139.09 is: 658,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,508.36 : 422,139.09 = 422,139.09 : x
  2. Step 2: Convert to fraction form
    270,508.36/422,139.09 = 422,139.09/x
  3. Step 3: Cross multiply
    270,508.36x = 422,139.09 × 422,139.09
  4. Step 4: Simplify right side
    270,508.36x = 178,201,414,472.07
  5. Step 5: Solve for x
    x = 178,201,414,472.07/270,508.36
  6. Step 6: Final answer
    x = 658,764.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.