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Finding the Third Proportional to 567,694 and 853,911

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Solution

The third proportional to 567,694 and 853,911 is: 1,284,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,694 : 853,911 = 853,911 : x
  2. Step 2: Convert to fraction form
    567,694/853,911 = 853,911/x
  3. Step 3: Cross multiply
    567,694x = 853,911 × 853,911
  4. Step 4: Simplify right side
    567,694x = 729,163,995,921
  5. Step 5: Solve for x
    x = 729,163,995,921/567,694
  6. Step 6: Final answer
    x = 1,284,431.39

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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.