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Finding the Third Proportional to 323,179 and 694,334

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Solution

The third proportional to 323,179 and 694,334 is: 1,491,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,179 : 694,334 = 694,334 : x
  2. Step 2: Convert to fraction form
    323,179/694,334 = 694,334/x
  3. Step 3: Cross multiply
    323,179x = 694,334 × 694,334
  4. Step 4: Simplify right side
    323,179x = 482,099,703,556
  5. Step 5: Solve for x
    x = 482,099,703,556/323,179
  6. Step 6: Final answer
    x = 1,491,742.05

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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.