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Finding the Third Proportional to 381,060 and 814,608

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Solution

The third proportional to 381,060 and 814,608 is: 1,741,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,060 : 814,608 = 814,608 : x
  2. Step 2: Convert to fraction form
    381,060/814,608 = 814,608/x
  3. Step 3: Cross multiply
    381,060x = 814,608 × 814,608
  4. Step 4: Simplify right side
    381,060x = 663,586,193,664
  5. Step 5: Solve for x
    x = 663,586,193,664/381,060
  6. Step 6: Final answer
    x = 1,741,421.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.