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Finding the Third Proportional to 532,100 and 782,589

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Solution

The third proportional to 532,100 and 782,589 is: 1,150,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,100 : 782,589 = 782,589 : x
  2. Step 2: Convert to fraction form
    532,100/782,589 = 782,589/x
  3. Step 3: Cross multiply
    532,100x = 782,589 × 782,589
  4. Step 4: Simplify right side
    532,100x = 612,445,542,921
  5. Step 5: Solve for x
    x = 612,445,542,921/532,100
  6. Step 6: Final answer
    x = 1,150,997.07

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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.