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Finding the Third Proportional to 252,928 and 529,238

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Solution

The third proportional to 252,928 and 529,238 is: 1,107,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,928 : 529,238 = 529,238 : x
  2. Step 2: Convert to fraction form
    252,928/529,238 = 529,238/x
  3. Step 3: Cross multiply
    252,928x = 529,238 × 529,238
  4. Step 4: Simplify right side
    252,928x = 280,092,860,644
  5. Step 5: Solve for x
    x = 280,092,860,644/252,928
  6. Step 6: Final answer
    x = 1,107,401.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.