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Finding the Third Proportional to 323,337 and 680,169.75

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Solution

The third proportional to 323,337 and 680,169.75 is: 1,430,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,337 : 680,169.75 = 680,169.75 : x
  2. Step 2: Convert to fraction form
    323,337/680,169.75 = 680,169.75/x
  3. Step 3: Cross multiply
    323,337x = 680,169.75 × 680,169.75
  4. Step 4: Simplify right side
    323,337x = 462,630,888,815.06
  5. Step 5: Solve for x
    x = 462,630,888,815.06/323,337
  6. Step 6: Final answer
    x = 1,430,800.96

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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.