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Finding the Third Proportional to 381,846 and 577,593

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Solution

The third proportional to 381,846 and 577,593 is: 873,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,846 : 577,593 = 577,593 : x
  2. Step 2: Convert to fraction form
    381,846/577,593 = 577,593/x
  3. Step 3: Cross multiply
    381,846x = 577,593 × 577,593
  4. Step 4: Simplify right side
    381,846x = 333,613,673,649
  5. Step 5: Solve for x
    x = 333,613,673,649/381,846
  6. Step 6: Final answer
    x = 873,686.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.