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Finding the Third Proportional to 580,586 and 853,799

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Solution

The third proportional to 580,586 and 853,799 is: 1,255,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,586 : 853,799 = 853,799 : x
  2. Step 2: Convert to fraction form
    580,586/853,799 = 853,799/x
  3. Step 3: Cross multiply
    580,586x = 853,799 × 853,799
  4. Step 4: Simplify right side
    580,586x = 728,972,732,401
  5. Step 5: Solve for x
    x = 728,972,732,401/580,586
  6. Step 6: Final answer
    x = 1,255,580.97

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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.