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Finding the Third Proportional to 229,716 and 504,696

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Solution

The third proportional to 229,716 and 504,696 is: 1,108,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716 : 504,696 = 504,696 : x
  2. Step 2: Convert to fraction form
    229,716/504,696 = 504,696/x
  3. Step 3: Cross multiply
    229,716x = 504,696 × 504,696
  4. Step 4: Simplify right side
    229,716x = 254,718,052,416
  5. Step 5: Solve for x
    x = 254,718,052,416/229,716
  6. Step 6: Final answer
    x = 1,108,838.97

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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.