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Finding the Third Proportional to 191,915 and 405,974

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Solution

The third proportional to 191,915 and 405,974 is: 858,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,915 : 405,974 = 405,974 : x
  2. Step 2: Convert to fraction form
    191,915/405,974 = 405,974/x
  3. Step 3: Cross multiply
    191,915x = 405,974 × 405,974
  4. Step 4: Simplify right side
    191,915x = 164,814,888,676
  5. Step 5: Solve for x
    x = 164,814,888,676/191,915
  6. Step 6: Final answer
    x = 858,791.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.