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Finding the Third Proportional to 379,939.50 and 825,732

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Solution

The third proportional to 379,939.50 and 825,732 is: 1,794,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,939.50 : 825,732 = 825,732 : x
  2. Step 2: Convert to fraction form
    379,939.50/825,732 = 825,732/x
  3. Step 3: Cross multiply
    379,939.50x = 825,732 × 825,732
  4. Step 4: Simplify right side
    379,939.50x = 681,833,335,824
  5. Step 5: Solve for x
    x = 681,833,335,824/379,939.50
  6. Step 6: Final answer
    x = 1,794,583.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.