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Finding the Third Proportional to 324,253 and 517,997

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Solution

The third proportional to 324,253 and 517,997 is: 827,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,253 : 517,997 = 517,997 : x
  2. Step 2: Convert to fraction form
    324,253/517,997 = 517,997/x
  3. Step 3: Cross multiply
    324,253x = 517,997 × 517,997
  4. Step 4: Simplify right side
    324,253x = 268,320,892,009
  5. Step 5: Solve for x
    x = 268,320,892,009/324,253
  6. Step 6: Final answer
    x = 827,504.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.