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Finding the Third Proportional to 381,044 and 560,163

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Solution

The third proportional to 381,044 and 560,163 is: 823,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,044 : 560,163 = 560,163 : x
  2. Step 2: Convert to fraction form
    381,044/560,163 = 560,163/x
  3. Step 3: Cross multiply
    381,044x = 560,163 × 560,163
  4. Step 4: Simplify right side
    381,044x = 313,782,586,569
  5. Step 5: Solve for x
    x = 313,782,586,569/381,044
  6. Step 6: Final answer
    x = 823,481.24

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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.