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Finding the Third Proportional to 234,833.06 and 523,452.38

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Solution

The third proportional to 234,833.06 and 523,452.38 is: 1,166,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,833.06 : 523,452.38 = 523,452.38 : x
  2. Step 2: Convert to fraction form
    234,833.06/523,452.38 = 523,452.38/x
  3. Step 3: Cross multiply
    234,833.06x = 523,452.38 × 523,452.38
  4. Step 4: Simplify right side
    234,833.06x = 274,002,388,893.14
  5. Step 5: Solve for x
    x = 274,002,388,893.14/234,833.06
  6. Step 6: Final answer
    x = 1,166,796.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.