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Finding the Third Proportional to 200,848 and 436,700

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Solution

The third proportional to 200,848 and 436,700 is: 949,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,848 : 436,700 = 436,700 : x
  2. Step 2: Convert to fraction form
    200,848/436,700 = 436,700/x
  3. Step 3: Cross multiply
    200,848x = 436,700 × 436,700
  4. Step 4: Simplify right side
    200,848x = 190,706,890,000
  5. Step 5: Solve for x
    x = 190,706,890,000/200,848
  6. Step 6: Final answer
    x = 949,508.53

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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.