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Finding the Third Proportional to 229,424 and 504,234

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Solution

The third proportional to 229,424 and 504,234 is: 1,108,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,424 : 504,234 = 504,234 : x
  2. Step 2: Convert to fraction form
    229,424/504,234 = 504,234/x
  3. Step 3: Cross multiply
    229,424x = 504,234 × 504,234
  4. Step 4: Simplify right side
    229,424x = 254,251,926,756
  5. Step 5: Solve for x
    x = 254,251,926,756/229,424
  6. Step 6: Final answer
    x = 1,108,218.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.