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Finding the Third Proportional to 239,396 and 504,040

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Solution

The third proportional to 239,396 and 504,040 is: 1,061,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,396 : 504,040 = 504,040 : x
  2. Step 2: Convert to fraction form
    239,396/504,040 = 504,040/x
  3. Step 3: Cross multiply
    239,396x = 504,040 × 504,040
  4. Step 4: Simplify right side
    239,396x = 254,056,321,600
  5. Step 5: Solve for x
    x = 254,056,321,600/239,396
  6. Step 6: Final answer
    x = 1,061,238.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.