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Finding the Third Proportional to 234,027 and 503,062

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Solution

The third proportional to 234,027 and 503,062 is: 1,081,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,027 : 503,062 = 503,062 : x
  2. Step 2: Convert to fraction form
    234,027/503,062 = 503,062/x
  3. Step 3: Cross multiply
    234,027x = 503,062 × 503,062
  4. Step 4: Simplify right side
    234,027x = 253,071,375,844
  5. Step 5: Solve for x
    x = 253,071,375,844/234,027
  6. Step 6: Final answer
    x = 1,081,376.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.