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Finding the Third Proportional to 269,512 and 404,233

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Solution

The third proportional to 269,512 and 404,233 is: 606,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,512 : 404,233 = 404,233 : x
  2. Step 2: Convert to fraction form
    269,512/404,233 = 404,233/x
  3. Step 3: Cross multiply
    269,512x = 404,233 × 404,233
  4. Step 4: Simplify right side
    269,512x = 163,404,318,289
  5. Step 5: Solve for x
    x = 163,404,318,289/269,512
  6. Step 6: Final answer
    x = 606,297.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.