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Finding the Third Proportional to 231,696 and 504,864

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Solution

The third proportional to 231,696 and 504,864 is: 1,100,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,696 : 504,864 = 504,864 : x
  2. Step 2: Convert to fraction form
    231,696/504,864 = 504,864/x
  3. Step 3: Cross multiply
    231,696x = 504,864 × 504,864
  4. Step 4: Simplify right side
    231,696x = 254,887,658,496
  5. Step 5: Solve for x
    x = 254,887,658,496/231,696
  6. Step 6: Final answer
    x = 1,100,095.20

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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.