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Finding the Third Proportional to 344,682 and 496,449

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Solution

The third proportional to 344,682 and 496,449 is: 715,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,682 : 496,449 = 496,449 : x
  2. Step 2: Convert to fraction form
    344,682/496,449 = 496,449/x
  3. Step 3: Cross multiply
    344,682x = 496,449 × 496,449
  4. Step 4: Simplify right side
    344,682x = 246,461,609,601
  5. Step 5: Solve for x
    x = 246,461,609,601/344,682
  6. Step 6: Final answer
    x = 715,040.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.