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Finding the Third Proportional to 263,337 and 397,329

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Solution

The third proportional to 263,337 and 397,329 is: 599,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,337 : 397,329 = 397,329 : x
  2. Step 2: Convert to fraction form
    263,337/397,329 = 397,329/x
  3. Step 3: Cross multiply
    263,337x = 397,329 × 397,329
  4. Step 4: Simplify right side
    263,337x = 157,870,334,241
  5. Step 5: Solve for x
    x = 157,870,334,241/263,337
  6. Step 6: Final answer
    x = 599,499.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.