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Finding the Third Proportional to 232,328 and 503,656

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Solution

The third proportional to 232,328 and 503,656 is: 1,091,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,328 : 503,656 = 503,656 : x
  2. Step 2: Convert to fraction form
    232,328/503,656 = 503,656/x
  3. Step 3: Cross multiply
    232,328x = 503,656 × 503,656
  4. Step 4: Simplify right side
    232,328x = 253,669,366,336
  5. Step 5: Solve for x
    x = 253,669,366,336/232,328
  6. Step 6: Final answer
    x = 1,091,858.78

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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.