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Finding the Third Proportional to 323,493.75 and 680,451.75

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Solution

The third proportional to 323,493.75 and 680,451.75 is: 1,431,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,493.75 : 680,451.75 = 680,451.75 : x
  2. Step 2: Convert to fraction form
    323,493.75/680,451.75 = 680,451.75/x
  3. Step 3: Cross multiply
    323,493.75x = 680,451.75 × 680,451.75
  4. Step 4: Simplify right side
    323,493.75x = 463,014,584,078.06
  5. Step 5: Solve for x
    x = 463,014,584,078.06/323,493.75
  6. Step 6: Final answer
    x = 1,431,293.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.