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Finding the Third Proportional to 338,251 and 520,093

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Solution

The third proportional to 338,251 and 520,093 is: 799,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,251 : 520,093 = 520,093 : x
  2. Step 2: Convert to fraction form
    338,251/520,093 = 520,093/x
  3. Step 3: Cross multiply
    338,251x = 520,093 × 520,093
  4. Step 4: Simplify right side
    338,251x = 270,496,728,649
  5. Step 5: Solve for x
    x = 270,496,728,649/338,251
  6. Step 6: Final answer
    x = 799,692.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.