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Finding the Third Proportional to 191,922 and 405,990

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Solution

The third proportional to 191,922 and 405,990 is: 858,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,922 : 405,990 = 405,990 : x
  2. Step 2: Convert to fraction form
    191,922/405,990 = 405,990/x
  3. Step 3: Cross multiply
    191,922x = 405,990 × 405,990
  4. Step 4: Simplify right side
    191,922x = 164,827,880,100
  5. Step 5: Solve for x
    x = 164,827,880,100/191,922
  6. Step 6: Final answer
    x = 858,827.44

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