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Finding the Third Proportional to 381,236 and 560,760

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Solution

The third proportional to 381,236 and 560,760 is: 824,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,236 : 560,760 = 560,760 : x
  2. Step 2: Convert to fraction form
    381,236/560,760 = 560,760/x
  3. Step 3: Cross multiply
    381,236x = 560,760 × 560,760
  4. Step 4: Simplify right side
    381,236x = 314,451,777,600
  5. Step 5: Solve for x
    x = 314,451,777,600/381,236
  6. Step 6: Final answer
    x = 824,821.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.