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Finding the Third Proportional to 234,202.78 and 503,927.44

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Solution

The third proportional to 234,202.78 and 503,927.44 is: 1,084,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,202.78 : 503,927.44 = 503,927.44 : x
  2. Step 2: Convert to fraction form
    234,202.78/503,927.44 = 503,927.44/x
  3. Step 3: Cross multiply
    234,202.78x = 503,927.44 × 503,927.44
  4. Step 4: Simplify right side
    234,202.78x = 253,942,862,265.32
  5. Step 5: Solve for x
    x = 253,942,862,265.32/234,202.78
  6. Step 6: Final answer
    x = 1,084,286.28

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