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Finding the Third Proportional to 196,974 and 474,894

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Solution

The third proportional to 196,974 and 474,894 is: 1,144,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,974 : 474,894 = 474,894 : x
  2. Step 2: Convert to fraction form
    196,974/474,894 = 474,894/x
  3. Step 3: Cross multiply
    196,974x = 474,894 × 474,894
  4. Step 4: Simplify right side
    196,974x = 225,524,311,236
  5. Step 5: Solve for x
    x = 225,524,311,236/196,974
  6. Step 6: Final answer
    x = 1,144,944.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.