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Finding the Third Proportional to 311,198 and 633,808

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Solution

The third proportional to 311,198 and 633,808 is: 1,290,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,198 : 633,808 = 633,808 : x
  2. Step 2: Convert to fraction form
    311,198/633,808 = 633,808/x
  3. Step 3: Cross multiply
    311,198x = 633,808 × 633,808
  4. Step 4: Simplify right side
    311,198x = 401,712,580,864
  5. Step 5: Solve for x
    x = 401,712,580,864/311,198
  6. Step 6: Final answer
    x = 1,290,858.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.