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Finding the Third Proportional to 231,234.75 and 501,774.75

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Solution

The third proportional to 231,234.75 and 501,774.75 is: 1,088,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234.75 : 501,774.75 = 501,774.75 : x
  2. Step 2: Convert to fraction form
    231,234.75/501,774.75 = 501,774.75/x
  3. Step 3: Cross multiply
    231,234.75x = 501,774.75 × 501,774.75
  4. Step 4: Simplify right side
    231,234.75x = 251,777,899,737.56
  5. Step 5: Solve for x
    x = 251,777,899,737.56/231,234.75
  6. Step 6: Final answer
    x = 1,088,841.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.