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Finding the Third Proportional to 552,393 and 853,011

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Solution

The third proportional to 552,393 and 853,011 is: 1,317,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,393 : 853,011 = 853,011 : x
  2. Step 2: Convert to fraction form
    552,393/853,011 = 853,011/x
  3. Step 3: Cross multiply
    552,393x = 853,011 × 853,011
  4. Step 4: Simplify right side
    552,393x = 727,627,766,121
  5. Step 5: Solve for x
    x = 727,627,766,121/552,393
  6. Step 6: Final answer
    x = 1,317,228.43

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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.