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Finding the Third Proportional to 580,562 and 853,772

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Solution

The third proportional to 580,562 and 853,772 is: 1,255,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,562 : 853,772 = 853,772 : x
  2. Step 2: Convert to fraction form
    580,562/853,772 = 853,772/x
  3. Step 3: Cross multiply
    580,562x = 853,772 × 853,772
  4. Step 4: Simplify right side
    580,562x = 728,926,627,984
  5. Step 5: Solve for x
    x = 728,926,627,984/580,562
  6. Step 6: Final answer
    x = 1,255,553.46

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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.