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Finding the Third Proportional to 568,069 and 853,574

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Solution

The third proportional to 568,069 and 853,574 is: 1,282,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,069 : 853,574 = 853,574 : x
  2. Step 2: Convert to fraction form
    568,069/853,574 = 853,574/x
  3. Step 3: Cross multiply
    568,069x = 853,574 × 853,574
  4. Step 4: Simplify right side
    568,069x = 728,588,573,476
  5. Step 5: Solve for x
    x = 728,588,573,476/568,069
  6. Step 6: Final answer
    x = 1,282,570.56

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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.