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Finding the Third Proportional to 228,224 and 503,096

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Solution

The third proportional to 228,224 and 503,096 is: 1,109,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224 : 503,096 = 503,096 : x
  2. Step 2: Convert to fraction form
    228,224/503,096 = 503,096/x
  3. Step 3: Cross multiply
    228,224x = 503,096 × 503,096
  4. Step 4: Simplify right side
    228,224x = 253,105,585,216
  5. Step 5: Solve for x
    x = 253,105,585,216/228,224
  6. Step 6: Final answer
    x = 1,109,022.65

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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.