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Finding the Third Proportional to 234,326 and 504,252

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Solution

The third proportional to 234,326 and 504,252 is: 1,085,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,326 : 504,252 = 504,252 : x
  2. Step 2: Convert to fraction form
    234,326/504,252 = 504,252/x
  3. Step 3: Cross multiply
    234,326x = 504,252 × 504,252
  4. Step 4: Simplify right side
    234,326x = 254,270,079,504
  5. Step 5: Solve for x
    x = 254,270,079,504/234,326
  6. Step 6: Final answer
    x = 1,085,112.53

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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.