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Finding the Third Proportional to 197,690 and 466,446

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Solution

The third proportional to 197,690 and 466,446 is: 1,100,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,690 : 466,446 = 466,446 : x
  2. Step 2: Convert to fraction form
    197,690/466,446 = 466,446/x
  3. Step 3: Cross multiply
    197,690x = 466,446 × 466,446
  4. Step 4: Simplify right side
    197,690x = 217,571,870,916
  5. Step 5: Solve for x
    x = 217,571,870,916/197,690
  6. Step 6: Final answer
    x = 1,100,570.95

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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.