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Finding the Third Proportional to 234,381 and 485,377

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Solution

The third proportional to 234,381 and 485,377 is: 1,005,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,381 : 485,377 = 485,377 : x
  2. Step 2: Convert to fraction form
    234,381/485,377 = 485,377/x
  3. Step 3: Cross multiply
    234,381x = 485,377 × 485,377
  4. Step 4: Simplify right side
    234,381x = 235,590,832,129
  5. Step 5: Solve for x
    x = 235,590,832,129/234,381
  6. Step 6: Final answer
    x = 1,005,161.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.