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Finding the Third Proportional to 381,058 and 560,571

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Solution

The third proportional to 381,058 and 560,571 is: 824,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,058 : 560,571 = 560,571 : x
  2. Step 2: Convert to fraction form
    381,058/560,571 = 560,571/x
  3. Step 3: Cross multiply
    381,058x = 560,571 × 560,571
  4. Step 4: Simplify right side
    381,058x = 314,239,846,041
  5. Step 5: Solve for x
    x = 314,239,846,041/381,058
  6. Step 6: Final answer
    x = 824,650.96

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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.