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Finding the Third Proportional to 194,562 and 417,474

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Solution

The third proportional to 194,562 and 417,474 is: 895,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,562 : 417,474 = 417,474 : x
  2. Step 2: Convert to fraction form
    194,562/417,474 = 417,474/x
  3. Step 3: Cross multiply
    194,562x = 417,474 × 417,474
  4. Step 4: Simplify right side
    194,562x = 174,284,540,676
  5. Step 5: Solve for x
    x = 174,284,540,676/194,562
  6. Step 6: Final answer
    x = 895,778.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.