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Finding the Third Proportional to 200,969 and 436,810

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Solution

The third proportional to 200,969 and 436,810 is: 949,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,969 : 436,810 = 436,810 : x
  2. Step 2: Convert to fraction form
    200,969/436,810 = 436,810/x
  3. Step 3: Cross multiply
    200,969x = 436,810 × 436,810
  4. Step 4: Simplify right side
    200,969x = 190,802,976,100
  5. Step 5: Solve for x
    x = 190,802,976,100/200,969
  6. Step 6: Final answer
    x = 949,414.96

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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.