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Finding the Third Proportional to 200,772 and 436,532

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Solution

The third proportional to 200,772 and 436,532 is: 949,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772 : 436,532 = 436,532 : x
  2. Step 2: Convert to fraction form
    200,772/436,532 = 436,532/x
  3. Step 3: Cross multiply
    200,772x = 436,532 × 436,532
  4. Step 4: Simplify right side
    200,772x = 190,560,187,024
  5. Step 5: Solve for x
    x = 190,560,187,024/200,772
  6. Step 6: Final answer
    x = 949,137.27

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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.