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Finding the Third Proportional to 190,779 and 411,081

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Solution

The third proportional to 190,779 and 411,081 is: 885,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,779 : 411,081 = 411,081 : x
  2. Step 2: Convert to fraction form
    190,779/411,081 = 411,081/x
  3. Step 3: Cross multiply
    190,779x = 411,081 × 411,081
  4. Step 4: Simplify right side
    190,779x = 168,987,588,561
  5. Step 5: Solve for x
    x = 168,987,588,561/190,779
  6. Step 6: Final answer
    x = 885,776.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.