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Finding the Third Proportional to 422,035.50 and 976,171.50

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Solution

The third proportional to 422,035.50 and 976,171.50 is: 2,257,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,035.50 : 976,171.50 = 976,171.50 : x
  2. Step 2: Convert to fraction form
    422,035.50/976,171.50 = 976,171.50/x
  3. Step 3: Cross multiply
    422,035.50x = 976,171.50 × 976,171.50
  4. Step 4: Simplify right side
    422,035.50x = 952,910,797,412.25
  5. Step 5: Solve for x
    x = 952,910,797,412.25/422,035.50
  6. Step 6: Final answer
    x = 2,257,892.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.