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Finding the Third Proportional to 231,234 and 504,376.88

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Solution

The third proportional to 231,234 and 504,376.88 is: 1,100,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234 : 504,376.88 = 504,376.88 : x
  2. Step 2: Convert to fraction form
    231,234/504,376.88 = 504,376.88/x
  3. Step 3: Cross multiply
    231,234x = 504,376.88 × 504,376.88
  4. Step 4: Simplify right side
    231,234x = 254,396,032,034.77
  5. Step 5: Solve for x
    x = 254,396,032,034.77/231,234
  6. Step 6: Final answer
    x = 1,100,167.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.