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Finding the Third Proportional to 568,080 and 853,592

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Solution

The third proportional to 568,080 and 853,592 is: 1,282,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,080 : 853,592 = 853,592 : x
  2. Step 2: Convert to fraction form
    568,080/853,592 = 853,592/x
  3. Step 3: Cross multiply
    568,080x = 853,592 × 853,592
  4. Step 4: Simplify right side
    568,080x = 728,619,302,464
  5. Step 5: Solve for x
    x = 728,619,302,464/568,080
  6. Step 6: Final answer
    x = 1,282,599.81

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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.