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Finding the Third Proportional to 323,150 and 694,276

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Solution

The third proportional to 323,150 and 694,276 is: 1,491,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,150 : 694,276 = 694,276 : x
  2. Step 2: Convert to fraction form
    323,150/694,276 = 694,276/x
  3. Step 3: Cross multiply
    323,150x = 694,276 × 694,276
  4. Step 4: Simplify right side
    323,150x = 482,019,164,176
  5. Step 5: Solve for x
    x = 482,019,164,176/323,150
  6. Step 6: Final answer
    x = 1,491,626.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.