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Finding the Third Proportional to 194,686 and 422,419

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Solution

The third proportional to 194,686 and 422,419 is: 916,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,686 : 422,419 = 422,419 : x
  2. Step 2: Convert to fraction form
    194,686/422,419 = 422,419/x
  3. Step 3: Cross multiply
    194,686x = 422,419 × 422,419
  4. Step 4: Simplify right side
    194,686x = 178,437,811,561
  5. Step 5: Solve for x
    x = 178,437,811,561/194,686
  6. Step 6: Final answer
    x = 916,541.57

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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.