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Finding the Third Proportional to 199,831 and 436,270

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Solution

The third proportional to 199,831 and 436,270 is: 952,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,831 : 436,270 = 436,270 : x
  2. Step 2: Convert to fraction form
    199,831/436,270 = 436,270/x
  3. Step 3: Cross multiply
    199,831x = 436,270 × 436,270
  4. Step 4: Simplify right side
    199,831x = 190,331,512,900
  5. Step 5: Solve for x
    x = 190,331,512,900/199,831
  6. Step 6: Final answer
    x = 952,462.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.