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Finding the Third Proportional to 238,593.09 and 511,339.92

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Solution

The third proportional to 238,593.09 and 511,339.92 is: 1,095,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,593.09 : 511,339.92 = 511,339.92 : x
  2. Step 2: Convert to fraction form
    238,593.09/511,339.92 = 511,339.92/x
  3. Step 3: Cross multiply
    238,593.09x = 511,339.92 × 511,339.92
  4. Step 4: Simplify right side
    238,593.09x = 261,468,515,703.13
  5. Step 5: Solve for x
    x = 261,468,515,703.13/238,593.09
  6. Step 6: Final answer
    x = 1,095,876.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.