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Finding the Third Proportional to 228,740 and 504,016

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Solution

The third proportional to 228,740 and 504,016 is: 1,110,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,740 : 504,016 = 504,016 : x
  2. Step 2: Convert to fraction form
    228,740/504,016 = 504,016/x
  3. Step 3: Cross multiply
    228,740x = 504,016 × 504,016
  4. Step 4: Simplify right side
    228,740x = 254,032,128,256
  5. Step 5: Solve for x
    x = 254,032,128,256/228,740
  6. Step 6: Final answer
    x = 1,110,571.51

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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.