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Finding the Third Proportional to 189,887 and 412,373

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Solution

The third proportional to 189,887 and 412,373 is: 895,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,887 : 412,373 = 412,373 : x
  2. Step 2: Convert to fraction form
    189,887/412,373 = 412,373/x
  3. Step 3: Cross multiply
    189,887x = 412,373 × 412,373
  4. Step 4: Simplify right side
    189,887x = 170,051,491,129
  5. Step 5: Solve for x
    x = 170,051,491,129/189,887
  6. Step 6: Final answer
    x = 895,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.