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Finding the Third Proportional to 237,329 and 511,766

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Solution

The third proportional to 237,329 and 511,766 is: 1,103,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,329 : 511,766 = 511,766 : x
  2. Step 2: Convert to fraction form
    237,329/511,766 = 511,766/x
  3. Step 3: Cross multiply
    237,329x = 511,766 × 511,766
  4. Step 4: Simplify right side
    237,329x = 261,904,438,756
  5. Step 5: Solve for x
    x = 261,904,438,756/237,329
  6. Step 6: Final answer
    x = 1,103,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.