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Finding the Third Proportional to 197,649 and 434,661

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Solution

The third proportional to 197,649 and 434,661 is: 955,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,649 : 434,661 = 434,661 : x
  2. Step 2: Convert to fraction form
    197,649/434,661 = 434,661/x
  3. Step 3: Cross multiply
    197,649x = 434,661 × 434,661
  4. Step 4: Simplify right side
    197,649x = 188,930,184,921
  5. Step 5: Solve for x
    x = 188,930,184,921/197,649
  6. Step 6: Final answer
    x = 955,887.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.