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Finding the Third Proportional to 568,638 and 853,224.50

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Solution

The third proportional to 568,638 and 853,224.50 is: 1,280,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,638 : 853,224.50 = 853,224.50 : x
  2. Step 2: Convert to fraction form
    568,638/853,224.50 = 853,224.50/x
  3. Step 3: Cross multiply
    568,638x = 853,224.50 × 853,224.50
  4. Step 4: Simplify right side
    568,638x = 727,992,047,400.25
  5. Step 5: Solve for x
    x = 727,992,047,400.25/568,638
  6. Step 6: Final answer
    x = 1,280,238.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.