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Finding the Third Proportional to 191,489 and 403,876

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Solution

The third proportional to 191,489 and 403,876 is: 851,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,489 : 403,876 = 403,876 : x
  2. Step 2: Convert to fraction form
    191,489/403,876 = 403,876/x
  3. Step 3: Cross multiply
    191,489x = 403,876 × 403,876
  4. Step 4: Simplify right side
    191,489x = 163,115,823,376
  5. Step 5: Solve for x
    x = 163,115,823,376/191,489
  6. Step 6: Final answer
    x = 851,828.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.