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Finding the Third Proportional to 228,717 and 501,591

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Solution

The third proportional to 228,717 and 501,591 is: 1,100,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,717 : 501,591 = 501,591 : x
  2. Step 2: Convert to fraction form
    228,717/501,591 = 501,591/x
  3. Step 3: Cross multiply
    228,717x = 501,591 × 501,591
  4. Step 4: Simplify right side
    228,717x = 251,593,531,281
  5. Step 5: Solve for x
    x = 251,593,531,281/228,717
  6. Step 6: Final answer
    x = 1,100,021.12

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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.