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Finding the Third Proportional to 203,496 and 436,517

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Solution

The third proportional to 203,496 and 436,517 is: 936,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,496 : 436,517 = 436,517 : x
  2. Step 2: Convert to fraction form
    203,496/436,517 = 436,517/x
  3. Step 3: Cross multiply
    203,496x = 436,517 × 436,517
  4. Step 4: Simplify right side
    203,496x = 190,547,091,289
  5. Step 5: Solve for x
    x = 190,547,091,289/203,496
  6. Step 6: Final answer
    x = 936,367.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.