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Finding the Third Proportional to 197,991 and 478,494

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Solution

The third proportional to 197,991 and 478,494 is: 1,156,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,991 : 478,494 = 478,494 : x
  2. Step 2: Convert to fraction form
    197,991/478,494 = 478,494/x
  3. Step 3: Cross multiply
    197,991x = 478,494 × 478,494
  4. Step 4: Simplify right side
    197,991x = 228,956,508,036
  5. Step 5: Solve for x
    x = 228,956,508,036/197,991
  6. Step 6: Final answer
    x = 1,156,398.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.