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Finding the Third Proportional to 232,384 and 503,844

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Solution

The third proportional to 232,384 and 503,844 is: 1,092,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,384 : 503,844 = 503,844 : x
  2. Step 2: Convert to fraction form
    232,384/503,844 = 503,844/x
  3. Step 3: Cross multiply
    232,384x = 503,844 × 503,844
  4. Step 4: Simplify right side
    232,384x = 253,858,776,336
  5. Step 5: Solve for x
    x = 253,858,776,336/232,384
  6. Step 6: Final answer
    x = 1,092,410.74

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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.