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Finding the Third Proportional to 567,674 and 853,875

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Solution

The third proportional to 567,674 and 853,875 is: 1,284,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,674 : 853,875 = 853,875 : x
  2. Step 2: Convert to fraction form
    567,674/853,875 = 853,875/x
  3. Step 3: Cross multiply
    567,674x = 853,875 × 853,875
  4. Step 4: Simplify right side
    567,674x = 729,102,515,625
  5. Step 5: Solve for x
    x = 729,102,515,625/567,674
  6. Step 6: Final answer
    x = 1,284,368.34

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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.