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Finding the Third Proportional to 197,731 and 466,574

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Solution

The third proportional to 197,731 and 466,574 is: 1,100,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,731 : 466,574 = 466,574 : x
  2. Step 2: Convert to fraction form
    197,731/466,574 = 466,574/x
  3. Step 3: Cross multiply
    197,731x = 466,574 × 466,574
  4. Step 4: Simplify right side
    197,731x = 217,691,297,476
  5. Step 5: Solve for x
    x = 217,691,297,476/197,731
  6. Step 6: Final answer
    x = 1,100,946.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.