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Finding the Third Proportional to 567,622 and 853,824

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Solution

The third proportional to 567,622 and 853,824 is: 1,284,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,622 : 853,824 = 853,824 : x
  2. Step 2: Convert to fraction form
    567,622/853,824 = 853,824/x
  3. Step 3: Cross multiply
    567,622x = 853,824 × 853,824
  4. Step 4: Simplify right side
    567,622x = 729,015,422,976
  5. Step 5: Solve for x
    x = 729,015,422,976/567,622
  6. Step 6: Final answer
    x = 1,284,332.57

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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.