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Finding the Third Proportional to 200,832 and 436,224

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Solution

The third proportional to 200,832 and 436,224 is: 947,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832 : 436,224 = 436,224 : x
  2. Step 2: Convert to fraction form
    200,832/436,224 = 436,224/x
  3. Step 3: Cross multiply
    200,832x = 436,224 × 436,224
  4. Step 4: Simplify right side
    200,832x = 190,291,378,176
  5. Step 5: Solve for x
    x = 190,291,378,176/200,832
  6. Step 6: Final answer
    x = 947,515.23

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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.