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Finding the Third Proportional to 189,504 and 412,416

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Solution

The third proportional to 189,504 and 412,416 is: 897,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,504 : 412,416 = 412,416 : x
  2. Step 2: Convert to fraction form
    189,504/412,416 = 412,416/x
  3. Step 3: Cross multiply
    189,504x = 412,416 × 412,416
  4. Step 4: Simplify right side
    189,504x = 170,086,957,056
  5. Step 5: Solve for x
    x = 170,086,957,056/189,504
  6. Step 6: Final answer
    x = 897,537.56

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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.