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Finding the Third Proportional to 192,595 and 411,899

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Solution

The third proportional to 192,595 and 411,899 is: 880,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,595 : 411,899 = 411,899 : x
  2. Step 2: Convert to fraction form
    192,595/411,899 = 411,899/x
  3. Step 3: Cross multiply
    192,595x = 411,899 × 411,899
  4. Step 4: Simplify right side
    192,595x = 169,660,786,201
  5. Step 5: Solve for x
    x = 169,660,786,201/192,595
  6. Step 6: Final answer
    x = 880,919.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.