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Finding the Third Proportional to 581,608 and 853,242

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Solution

The third proportional to 581,608 and 853,242 is: 1,251,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,608 : 853,242 = 853,242 : x
  2. Step 2: Convert to fraction form
    581,608/853,242 = 853,242/x
  3. Step 3: Cross multiply
    581,608x = 853,242 × 853,242
  4. Step 4: Simplify right side
    581,608x = 728,021,910,564
  5. Step 5: Solve for x
    x = 728,021,910,564/581,608
  6. Step 6: Final answer
    x = 1,251,739.85

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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.