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Finding the Third Proportional to 228,638 and 501,544

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Solution

The third proportional to 228,638 and 501,544 is: 1,100,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,638 : 501,544 = 501,544 : x
  2. Step 2: Convert to fraction form
    228,638/501,544 = 501,544/x
  3. Step 3: Cross multiply
    228,638x = 501,544 × 501,544
  4. Step 4: Simplify right side
    228,638x = 251,546,383,936
  5. Step 5: Solve for x
    x = 251,546,383,936/228,638
  6. Step 6: Final answer
    x = 1,100,195.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.