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Finding the Third Proportional to 232,427 and 503,977

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Solution

The third proportional to 232,427 and 503,977 is: 1,092,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,427 : 503,977 = 503,977 : x
  2. Step 2: Convert to fraction form
    232,427/503,977 = 503,977/x
  3. Step 3: Cross multiply
    232,427x = 503,977 × 503,977
  4. Step 4: Simplify right side
    232,427x = 253,992,816,529
  5. Step 5: Solve for x
    x = 253,992,816,529/232,427
  6. Step 6: Final answer
    x = 1,092,785.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.