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Finding the Third Proportional to 320,402.25 and 682,215.75

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Solution

The third proportional to 320,402.25 and 682,215.75 is: 1,452,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,402.25 : 682,215.75 = 682,215.75 : x
  2. Step 2: Convert to fraction form
    320,402.25/682,215.75 = 682,215.75/x
  3. Step 3: Cross multiply
    320,402.25x = 682,215.75 × 682,215.75
  4. Step 4: Simplify right side
    320,402.25x = 465,418,329,548.06
  5. Step 5: Solve for x
    x = 465,418,329,548.06/320,402.25
  6. Step 6: Final answer
    x = 1,452,606.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.