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Finding the Third Proportional to 325,036 and 519,042

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Solution

The third proportional to 325,036 and 519,042 is: 828,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,036 : 519,042 = 519,042 : x
  2. Step 2: Convert to fraction form
    325,036/519,042 = 519,042/x
  3. Step 3: Cross multiply
    325,036x = 519,042 × 519,042
  4. Step 4: Simplify right side
    325,036x = 269,404,597,764
  5. Step 5: Solve for x
    x = 269,404,597,764/325,036
  6. Step 6: Final answer
    x = 828,845.41

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.