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Finding the Third Proportional to 552,678 and 853,431

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Solution

The third proportional to 552,678 and 853,431 is: 1,317,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,678 : 853,431 = 853,431 : x
  2. Step 2: Convert to fraction form
    552,678/853,431 = 853,431/x
  3. Step 3: Cross multiply
    552,678x = 853,431 × 853,431
  4. Step 4: Simplify right side
    552,678x = 728,344,471,761
  5. Step 5: Solve for x
    x = 728,344,471,761/552,678
  6. Step 6: Final answer
    x = 1,317,845.96

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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.