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Finding the Third Proportional to 381,134 and 560,283

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Solution

The third proportional to 381,134 and 560,283 is: 823,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,134 : 560,283 = 560,283 : x
  2. Step 2: Convert to fraction form
    381,134/560,283 = 560,283/x
  3. Step 3: Cross multiply
    381,134x = 560,283 × 560,283
  4. Step 4: Simplify right side
    381,134x = 313,917,040,089
  5. Step 5: Solve for x
    x = 313,917,040,089/381,134
  6. Step 6: Final answer
    x = 823,639.56

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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.