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Finding the Third Proportional to 190,782 and 411,084

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Solution

The third proportional to 190,782 and 411,084 is: 885,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 411,084 = 411,084 : x
  2. Step 2: Convert to fraction form
    190,782/411,084 = 411,084/x
  3. Step 3: Cross multiply
    190,782x = 411,084 × 411,084
  4. Step 4: Simplify right side
    190,782x = 168,990,055,056
  5. Step 5: Solve for x
    x = 168,990,055,056/190,782
  6. Step 6: Final answer
    x = 885,775.68

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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.