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Finding the Third Proportional to 232,647.75 and 502,062.75

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Solution

The third proportional to 232,647.75 and 502,062.75 is: 1,083,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,647.75 : 502,062.75 = 502,062.75 : x
  2. Step 2: Convert to fraction form
    232,647.75/502,062.75 = 502,062.75/x
  3. Step 3: Cross multiply
    232,647.75x = 502,062.75 × 502,062.75
  4. Step 4: Simplify right side
    232,647.75x = 252,067,004,937.56
  5. Step 5: Solve for x
    x = 252,067,004,937.56/232,647.75
  6. Step 6: Final answer
    x = 1,083,470.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.