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Finding the Third Proportional to 582,504 and 782,912

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Solution

The third proportional to 582,504 and 782,912 is: 1,052,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,504 : 782,912 = 782,912 : x
  2. Step 2: Convert to fraction form
    582,504/782,912 = 782,912/x
  3. Step 3: Cross multiply
    582,504x = 782,912 × 782,912
  4. Step 4: Simplify right side
    582,504x = 612,951,199,744
  5. Step 5: Solve for x
    x = 612,951,199,744/582,504
  6. Step 6: Final answer
    x = 1,052,269.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.