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Finding the Third Proportional to 284,227 and 410,626

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Solution

The third proportional to 284,227 and 410,626 is: 593,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227 : 410,626 = 410,626 : x
  2. Step 2: Convert to fraction form
    284,227/410,626 = 410,626/x
  3. Step 3: Cross multiply
    284,227x = 410,626 × 410,626
  4. Step 4: Simplify right side
    284,227x = 168,613,711,876
  5. Step 5: Solve for x
    x = 168,613,711,876/284,227
  6. Step 6: Final answer
    x = 593,236.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.