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Finding the Third Proportional to 580,560 and 853,769

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Solution

The third proportional to 580,560 and 853,769 is: 1,255,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,560 : 853,769 = 853,769 : x
  2. Step 2: Convert to fraction form
    580,560/853,769 = 853,769/x
  3. Step 3: Cross multiply
    580,560x = 853,769 × 853,769
  4. Step 4: Simplify right side
    580,560x = 728,921,505,361
  5. Step 5: Solve for x
    x = 728,921,505,361/580,560
  6. Step 6: Final answer
    x = 1,255,548.96

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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.