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Finding the Third Proportional to 238,577.06 and 504,763.31

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Solution

The third proportional to 238,577.06 and 504,763.31 is: 1,067,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,577.06 : 504,763.31 = 504,763.31 : x
  2. Step 2: Convert to fraction form
    238,577.06/504,763.31 = 504,763.31/x
  3. Step 3: Cross multiply
    238,577.06x = 504,763.31 × 504,763.31
  4. Step 4: Simplify right side
    238,577.06x = 254,786,001,645.97
  5. Step 5: Solve for x
    x = 254,786,001,645.97/238,577.06
  6. Step 6: Final answer
    x = 1,067,940.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.