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Finding the Third Proportional to 381,877 and 795,131

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Solution

The third proportional to 381,877 and 795,131 is: 1,655,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,877 : 795,131 = 795,131 : x
  2. Step 2: Convert to fraction form
    381,877/795,131 = 795,131/x
  3. Step 3: Cross multiply
    381,877x = 795,131 × 795,131
  4. Step 4: Simplify right side
    381,877x = 632,233,307,161
  5. Step 5: Solve for x
    x = 632,233,307,161/381,877
  6. Step 6: Final answer
    x = 1,655,594.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.