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Finding the Third Proportional to 239,074 and 515,034

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Solution

The third proportional to 239,074 and 515,034 is: 1,109,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,074 : 515,034 = 515,034 : x
  2. Step 2: Convert to fraction form
    239,074/515,034 = 515,034/x
  3. Step 3: Cross multiply
    239,074x = 515,034 × 515,034
  4. Step 4: Simplify right side
    239,074x = 265,260,021,156
  5. Step 5: Solve for x
    x = 265,260,021,156/239,074
  6. Step 6: Final answer
    x = 1,109,531.03

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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.