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Finding the Third Proportional to 234,204 and 503,940

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Solution

The third proportional to 234,204 and 503,940 is: 1,084,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,204 : 503,940 = 503,940 : x
  2. Step 2: Convert to fraction form
    234,204/503,940 = 503,940/x
  3. Step 3: Cross multiply
    234,204x = 503,940 × 503,940
  4. Step 4: Simplify right side
    234,204x = 253,955,523,600
  5. Step 5: Solve for x
    x = 253,955,523,600/234,204
  6. Step 6: Final answer
    x = 1,084,334.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.