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Finding the Third Proportional to 229,236 and 504,144

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Solution

The third proportional to 229,236 and 504,144 is: 1,108,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,236 : 504,144 = 504,144 : x
  2. Step 2: Convert to fraction form
    229,236/504,144 = 504,144/x
  3. Step 3: Cross multiply
    229,236x = 504,144 × 504,144
  4. Step 4: Simplify right side
    229,236x = 254,161,172,736
  5. Step 5: Solve for x
    x = 254,161,172,736/229,236
  6. Step 6: Final answer
    x = 1,108,731.49

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