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Finding the Third Proportional to 334,478.25 and 696,660.75

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Solution

The third proportional to 334,478.25 and 696,660.75 is: 1,451,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,478.25 : 696,660.75 = 696,660.75 : x
  2. Step 2: Convert to fraction form
    334,478.25/696,660.75 = 696,660.75/x
  3. Step 3: Cross multiply
    334,478.25x = 696,660.75 × 696,660.75
  4. Step 4: Simplify right side
    334,478.25x = 485,336,200,590.56
  5. Step 5: Solve for x
    x = 485,336,200,590.56/334,478.25
  6. Step 6: Final answer
    x = 1,451,024.69

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.