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Finding the Third Proportional to 263,876 and 576,141

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Solution

The third proportional to 263,876 and 576,141 is: 1,257,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,876 : 576,141 = 576,141 : x
  2. Step 2: Convert to fraction form
    263,876/576,141 = 576,141/x
  3. Step 3: Cross multiply
    263,876x = 576,141 × 576,141
  4. Step 4: Simplify right side
    263,876x = 331,938,451,881
  5. Step 5: Solve for x
    x = 331,938,451,881/263,876
  6. Step 6: Final answer
    x = 1,257,933.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.