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Finding the Third Proportional to 552,736 and 853,536

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Solution

The third proportional to 552,736 and 853,536 is: 1,318,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,736 : 853,536 = 853,536 : x
  2. Step 2: Convert to fraction form
    552,736/853,536 = 853,536/x
  3. Step 3: Cross multiply
    552,736x = 853,536 × 853,536
  4. Step 4: Simplify right side
    552,736x = 728,523,703,296
  5. Step 5: Solve for x
    x = 728,523,703,296/552,736
  6. Step 6: Final answer
    x = 1,318,031.94

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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.