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Finding the Third Proportional to 199,066 and 421,460

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Solution

The third proportional to 199,066 and 421,460 is: 892,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,066 : 421,460 = 421,460 : x
  2. Step 2: Convert to fraction form
    199,066/421,460 = 421,460/x
  3. Step 3: Cross multiply
    199,066x = 421,460 × 421,460
  4. Step 4: Simplify right side
    199,066x = 177,628,531,600
  5. Step 5: Solve for x
    x = 177,628,531,600/199,066
  6. Step 6: Final answer
    x = 892,309.74

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Why These Related Problems?

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