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Finding the Third Proportional to 234,843.75 and 523,473.75

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Solution

The third proportional to 234,843.75 and 523,473.75 is: 1,166,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,843.75 : 523,473.75 = 523,473.75 : x
  2. Step 2: Convert to fraction form
    234,843.75/523,473.75 = 523,473.75/x
  3. Step 3: Cross multiply
    234,843.75x = 523,473.75 × 523,473.75
  4. Step 4: Simplify right side
    234,843.75x = 274,024,766,939.06
  5. Step 5: Solve for x
    x = 274,024,766,939.06/234,843.75
  6. Step 6: Final answer
    x = 1,166,838.66

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