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Finding the Third Proportional to 189,522 and 412,450

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Solution

The third proportional to 189,522 and 412,450 is: 897,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,522 : 412,450 = 412,450 : x
  2. Step 2: Convert to fraction form
    189,522/412,450 = 412,450/x
  3. Step 3: Cross multiply
    189,522x = 412,450 × 412,450
  4. Step 4: Simplify right side
    189,522x = 170,115,002,500
  5. Step 5: Solve for x
    x = 170,115,002,500/189,522
  6. Step 6: Final answer
    x = 897,600.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.