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Finding the Third Proportional to 397,251 and 599,589

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Solution

The third proportional to 397,251 and 599,589 is: 904,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,251 : 599,589 = 599,589 : x
  2. Step 2: Convert to fraction form
    397,251/599,589 = 599,589/x
  3. Step 3: Cross multiply
    397,251x = 599,589 × 599,589
  4. Step 4: Simplify right side
    397,251x = 359,506,968,921
  5. Step 5: Solve for x
    x = 359,506,968,921/397,251
  6. Step 6: Final answer
    x = 904,986.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.