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Finding the Third Proportional to 200,048 and 436,043

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Solution

The third proportional to 200,048 and 436,043 is: 950,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048 : 436,043 = 436,043 : x
  2. Step 2: Convert to fraction form
    200,048/436,043 = 436,043/x
  3. Step 3: Cross multiply
    200,048x = 436,043 × 436,043
  4. Step 4: Simplify right side
    200,048x = 190,133,497,849
  5. Step 5: Solve for x
    x = 190,133,497,849/200,048
  6. Step 6: Final answer
    x = 950,439.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.