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Finding the Third Proportional to 334,293 and 696,234

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Solution

The third proportional to 334,293 and 696,234 is: 1,450,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,293 : 696,234 = 696,234 : x
  2. Step 2: Convert to fraction form
    334,293/696,234 = 696,234/x
  3. Step 3: Cross multiply
    334,293x = 696,234 × 696,234
  4. Step 4: Simplify right side
    334,293x = 484,741,782,756
  5. Step 5: Solve for x
    x = 484,741,782,756/334,293
  6. Step 6: Final answer
    x = 1,450,050.65

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Why These Related Problems?

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