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Finding the Third Proportional to 200,870 and 436,692

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Solution

The third proportional to 200,870 and 436,692 is: 949,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,870 : 436,692 = 436,692 : x
  2. Step 2: Convert to fraction form
    200,870/436,692 = 436,692/x
  3. Step 3: Cross multiply
    200,870x = 436,692 × 436,692
  4. Step 4: Simplify right side
    200,870x = 190,699,902,864
  5. Step 5: Solve for x
    x = 190,699,902,864/200,870
  6. Step 6: Final answer
    x = 949,369.76

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