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Finding the Third Proportional to 340,997 and 496,503

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Solution

The third proportional to 340,997 and 496,503 is: 722,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,997 : 496,503 = 496,503 : x
  2. Step 2: Convert to fraction form
    340,997/496,503 = 496,503/x
  3. Step 3: Cross multiply
    340,997x = 496,503 × 496,503
  4. Step 4: Simplify right side
    340,997x = 246,515,229,009
  5. Step 5: Solve for x
    x = 246,515,229,009/340,997
  6. Step 6: Final answer
    x = 722,924.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.