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Finding the Third Proportional to 580,584 and 853,796

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Solution

The third proportional to 580,584 and 853,796 is: 1,255,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,584 : 853,796 = 853,796 : x
  2. Step 2: Convert to fraction form
    580,584/853,796 = 853,796/x
  3. Step 3: Cross multiply
    580,584x = 853,796 × 853,796
  4. Step 4: Simplify right side
    580,584x = 728,967,609,616
  5. Step 5: Solve for x
    x = 728,967,609,616/580,584
  6. Step 6: Final answer
    x = 1,255,576.47

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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.