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Finding the Third Proportional to 239,542 and 511,220.75

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Solution

The third proportional to 239,542 and 511,220.75 is: 1,091,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,542 : 511,220.75 = 511,220.75 : x
  2. Step 2: Convert to fraction form
    239,542/511,220.75 = 511,220.75/x
  3. Step 3: Cross multiply
    239,542x = 511,220.75 × 511,220.75
  4. Step 4: Simplify right side
    239,542x = 261,346,655,230.56
  5. Step 5: Solve for x
    x = 261,346,655,230.56/239,542
  6. Step 6: Final answer
    x = 1,091,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.