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Finding the Third Proportional to 197,910 and 466,722

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Solution

The third proportional to 197,910 and 466,722 is: 1,100,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,910 : 466,722 = 466,722 : x
  2. Step 2: Convert to fraction form
    197,910/466,722 = 466,722/x
  3. Step 3: Cross multiply
    197,910x = 466,722 × 466,722
  4. Step 4: Simplify right side
    197,910x = 217,829,425,284
  5. Step 5: Solve for x
    x = 217,829,425,284/197,910
  6. Step 6: Final answer
    x = 1,100,648.91

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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.