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Finding the Third Proportional to 200,842 and 436,675

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Solution

The third proportional to 200,842 and 436,675 is: 949,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842 : 436,675 = 436,675 : x
  2. Step 2: Convert to fraction form
    200,842/436,675 = 436,675/x
  3. Step 3: Cross multiply
    200,842x = 436,675 × 436,675
  4. Step 4: Simplify right side
    200,842x = 190,685,055,625
  5. Step 5: Solve for x
    x = 190,685,055,625/200,842
  6. Step 6: Final answer
    x = 949,428.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.