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Finding the Third Proportional to 311,185 and 633,793

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Solution

The third proportional to 311,185 and 633,793 is: 1,290,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,185 : 633,793 = 633,793 : x
  2. Step 2: Convert to fraction form
    311,185/633,793 = 633,793/x
  3. Step 3: Cross multiply
    311,185x = 633,793 × 633,793
  4. Step 4: Simplify right side
    311,185x = 401,693,566,849
  5. Step 5: Solve for x
    x = 401,693,566,849/311,185
  6. Step 6: Final answer
    x = 1,290,851.32

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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.