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Finding the Third Proportional to 208,012 and 405,656

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Solution

The third proportional to 208,012 and 405,656 is: 791,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,012 : 405,656 = 405,656 : x
  2. Step 2: Convert to fraction form
    208,012/405,656 = 405,656/x
  3. Step 3: Cross multiply
    208,012x = 405,656 × 405,656
  4. Step 4: Simplify right side
    208,012x = 164,556,790,336
  5. Step 5: Solve for x
    x = 164,556,790,336/208,012
  6. Step 6: Final answer
    x = 791,092.78

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.