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Finding the Third Proportional to 234,015.75 and 503,040.38

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Solution

The third proportional to 234,015.75 and 503,040.38 is: 1,081,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,015.75 : 503,040.38 = 503,040.38 : x
  2. Step 2: Convert to fraction form
    234,015.75/503,040.38 = 503,040.38/x
  3. Step 3: Cross multiply
    234,015.75x = 503,040.38 × 503,040.38
  4. Step 4: Simplify right side
    234,015.75x = 253,049,618,880.14
  5. Step 5: Solve for x
    x = 253,049,618,880.14/234,015.75
  6. Step 6: Final answer
    x = 1,081,335.85

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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.