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Finding the Third Proportional to 580,583 and 853,801

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Solution

The third proportional to 580,583 and 853,801 is: 1,255,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,583 : 853,801 = 853,801 : x
  2. Step 2: Convert to fraction form
    580,583/853,801 = 853,801/x
  3. Step 3: Cross multiply
    580,583x = 853,801 × 853,801
  4. Step 4: Simplify right side
    580,583x = 728,976,147,601
  5. Step 5: Solve for x
    x = 728,976,147,601/580,583
  6. Step 6: Final answer
    x = 1,255,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.