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Finding the Third Proportional to 323,181 and 694,338

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Solution

The third proportional to 323,181 and 694,338 is: 1,491,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,181 : 694,338 = 694,338 : x
  2. Step 2: Convert to fraction form
    323,181/694,338 = 694,338/x
  3. Step 3: Cross multiply
    323,181x = 694,338 × 694,338
  4. Step 4: Simplify right side
    323,181x = 482,105,258,244
  5. Step 5: Solve for x
    x = 482,105,258,244/323,181
  6. Step 6: Final answer
    x = 1,491,750.00

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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.