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Finding the Third Proportional to 567,666 and 853,867

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Solution

The third proportional to 567,666 and 853,867 is: 1,284,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,666 : 853,867 = 853,867 : x
  2. Step 2: Convert to fraction form
    567,666/853,867 = 853,867/x
  3. Step 3: Cross multiply
    567,666x = 853,867 × 853,867
  4. Step 4: Simplify right side
    567,666x = 729,088,853,689
  5. Step 5: Solve for x
    x = 729,088,853,689/567,666
  6. Step 6: Final answer
    x = 1,284,362.38

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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.