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Finding the Third Proportional to 381,096 and 569,772

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Solution

The third proportional to 381,096 and 569,772 is: 851,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,096 : 569,772 = 569,772 : x
  2. Step 2: Convert to fraction form
    381,096/569,772 = 569,772/x
  3. Step 3: Cross multiply
    381,096x = 569,772 × 569,772
  4. Step 4: Simplify right side
    381,096x = 324,640,131,984
  5. Step 5: Solve for x
    x = 324,640,131,984/381,096
  6. Step 6: Final answer
    x = 851,859.20

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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.