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Finding the Third Proportional to 239,078 and 515,042

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Solution

The third proportional to 239,078 and 515,042 is: 1,109,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,078 : 515,042 = 515,042 : x
  2. Step 2: Convert to fraction form
    239,078/515,042 = 515,042/x
  3. Step 3: Cross multiply
    239,078x = 515,042 × 515,042
  4. Step 4: Simplify right side
    239,078x = 265,268,261,764
  5. Step 5: Solve for x
    x = 265,268,261,764/239,078
  6. Step 6: Final answer
    x = 1,109,546.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.