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Finding the Third Proportional to 552,670 and 825,589

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Solution

The third proportional to 552,670 and 825,589 is: 1,233,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,670 : 825,589 = 825,589 : x
  2. Step 2: Convert to fraction form
    552,670/825,589 = 825,589/x
  3. Step 3: Cross multiply
    552,670x = 825,589 × 825,589
  4. Step 4: Simplify right side
    552,670x = 681,597,196,921
  5. Step 5: Solve for x
    x = 681,597,196,921/552,670
  6. Step 6: Final answer
    x = 1,233,280.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.