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Finding the Third Proportional to 422,166.94 and 636,918.19

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Solution

The third proportional to 422,166.94 and 636,918.19 is: 960,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.94 : 636,918.19 = 636,918.19 : x
  2. Step 2: Convert to fraction form
    422,166.94/636,918.19 = 636,918.19/x
  3. Step 3: Cross multiply
    422,166.94x = 636,918.19 × 636,918.19
  4. Step 4: Simplify right side
    422,166.94x = 405,664,777,568.29
  5. Step 5: Solve for x
    x = 405,664,777,568.29/422,166.94
  6. Step 6: Final answer
    x = 960,910.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.