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Finding the Third Proportional to 381,878 and 795,134

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Solution

The third proportional to 381,878 and 795,134 is: 1,655,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,878 : 795,134 = 795,134 : x
  2. Step 2: Convert to fraction form
    381,878/795,134 = 795,134/x
  3. Step 3: Cross multiply
    381,878x = 795,134 × 795,134
  4. Step 4: Simplify right side
    381,878x = 632,238,077,956
  5. Step 5: Solve for x
    x = 632,238,077,956/381,878
  6. Step 6: Final answer
    x = 1,655,602.26

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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.