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Finding the Third Proportional to 200,754 and 436,500

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Solution

The third proportional to 200,754 and 436,500 is: 949,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754 : 436,500 = 436,500 : x
  2. Step 2: Convert to fraction form
    200,754/436,500 = 436,500/x
  3. Step 3: Cross multiply
    200,754x = 436,500 × 436,500
  4. Step 4: Simplify right side
    200,754x = 190,532,250,000
  5. Step 5: Solve for x
    x = 190,532,250,000/200,754
  6. Step 6: Final answer
    x = 949,083.21

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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.