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Finding the Third Proportional to 580,588 and 853,806

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Solution

The third proportional to 580,588 and 853,806 is: 1,255,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,588 : 853,806 = 853,806 : x
  2. Step 2: Convert to fraction form
    580,588/853,806 = 853,806/x
  3. Step 3: Cross multiply
    580,588x = 853,806 × 853,806
  4. Step 4: Simplify right side
    580,588x = 728,984,685,636
  5. Step 5: Solve for x
    x = 728,984,685,636/580,588
  6. Step 6: Final answer
    x = 1,255,597.23

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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.