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Finding the Third Proportional to 239,544 and 511,225

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Solution

The third proportional to 239,544 and 511,225 is: 1,091,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,544 : 511,225 = 511,225 : x
  2. Step 2: Convert to fraction form
    239,544/511,225 = 511,225/x
  3. Step 3: Cross multiply
    239,544x = 511,225 × 511,225
  4. Step 4: Simplify right side
    239,544x = 261,351,000,625
  5. Step 5: Solve for x
    x = 261,351,000,625/239,544
  6. Step 6: Final answer
    x = 1,091,035.47

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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.