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Finding the Third Proportional to 189,524 and 408,571

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Solution

The third proportional to 189,524 and 408,571 is: 880,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,524 : 408,571 = 408,571 : x
  2. Step 2: Convert to fraction form
    189,524/408,571 = 408,571/x
  3. Step 3: Cross multiply
    189,524x = 408,571 × 408,571
  4. Step 4: Simplify right side
    189,524x = 166,930,262,041
  5. Step 5: Solve for x
    x = 166,930,262,041/189,524
  6. Step 6: Final answer
    x = 880,786.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.