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Finding the Third Proportional to 552,531 and 853,204

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Solution

The third proportional to 552,531 and 853,204 is: 1,317,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,531 : 853,204 = 853,204 : x
  2. Step 2: Convert to fraction form
    552,531/853,204 = 853,204/x
  3. Step 3: Cross multiply
    552,531x = 853,204 × 853,204
  4. Step 4: Simplify right side
    552,531x = 727,957,065,616
  5. Step 5: Solve for x
    x = 727,957,065,616/552,531
  6. Step 6: Final answer
    x = 1,317,495.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.