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Finding the Third Proportional to 234,181 and 503,863

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Solution

The third proportional to 234,181 and 503,863 is: 1,084,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,181 : 503,863 = 503,863 : x
  2. Step 2: Convert to fraction form
    234,181/503,863 = 503,863/x
  3. Step 3: Cross multiply
    234,181x = 503,863 × 503,863
  4. Step 4: Simplify right side
    234,181x = 253,877,922,769
  5. Step 5: Solve for x
    x = 253,877,922,769/234,181
  6. Step 6: Final answer
    x = 1,084,109.82

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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.