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Finding the Third Proportional to 526,247 and 733,193

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Solution

The third proportional to 526,247 and 733,193 is: 1,021,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,247 : 733,193 = 733,193 : x
  2. Step 2: Convert to fraction form
    526,247/733,193 = 733,193/x
  3. Step 3: Cross multiply
    526,247x = 733,193 × 733,193
  4. Step 4: Simplify right side
    526,247x = 537,571,975,249
  5. Step 5: Solve for x
    x = 537,571,975,249/526,247
  6. Step 6: Final answer
    x = 1,021,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.