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Finding the Third Proportional to 200,540 and 436,360

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Solution

The third proportional to 200,540 and 436,360 is: 949,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,540 : 436,360 = 436,360 : x
  2. Step 2: Convert to fraction form
    200,540/436,360 = 436,360/x
  3. Step 3: Cross multiply
    200,540x = 436,360 × 436,360
  4. Step 4: Simplify right side
    200,540x = 190,410,049,600
  5. Step 5: Solve for x
    x = 190,410,049,600/200,540
  6. Step 6: Final answer
    x = 949,486.63

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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.