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Finding the Third Proportional to 197,638 and 433,691

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Solution

The third proportional to 197,638 and 433,691 is: 951,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,638 : 433,691 = 433,691 : x
  2. Step 2: Convert to fraction form
    197,638/433,691 = 433,691/x
  3. Step 3: Cross multiply
    197,638x = 433,691 × 433,691
  4. Step 4: Simplify right side
    197,638x = 188,087,883,481
  5. Step 5: Solve for x
    x = 188,087,883,481/197,638
  6. Step 6: Final answer
    x = 951,678.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.