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Finding the Third Proportional to 197,906 and 466,716

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Solution

The third proportional to 197,906 and 466,716 is: 1,100,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,906 : 466,716 = 466,716 : x
  2. Step 2: Convert to fraction form
    197,906/466,716 = 466,716/x
  3. Step 3: Cross multiply
    197,906x = 466,716 × 466,716
  4. Step 4: Simplify right side
    197,906x = 217,823,824,656
  5. Step 5: Solve for x
    x = 217,823,824,656/197,906
  6. Step 6: Final answer
    x = 1,100,642.85

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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.