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Finding the Third Proportional to 567,659 and 853,858

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Solution

The third proportional to 567,659 and 853,858 is: 1,284,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,659 : 853,858 = 853,858 : x
  2. Step 2: Convert to fraction form
    567,659/853,858 = 853,858/x
  3. Step 3: Cross multiply
    567,659x = 853,858 × 853,858
  4. Step 4: Simplify right side
    567,659x = 729,073,484,164
  5. Step 5: Solve for x
    x = 729,073,484,164/567,659
  6. Step 6: Final answer
    x = 1,284,351.14

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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.