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Finding the Third Proportional to 236,976 and 504,128

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Solution

The third proportional to 236,976 and 504,128 is: 1,072,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,976 : 504,128 = 504,128 : x
  2. Step 2: Convert to fraction form
    236,976/504,128 = 504,128/x
  3. Step 3: Cross multiply
    236,976x = 504,128 × 504,128
  4. Step 4: Simplify right side
    236,976x = 254,145,040,384
  5. Step 5: Solve for x
    x = 254,145,040,384/236,976
  6. Step 6: Final answer
    x = 1,072,450.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.