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Finding the Third Proportional to 311,185.50 and 633,795

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Solution

The third proportional to 311,185.50 and 633,795 is: 1,290,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,185.50 : 633,795 = 633,795 : x
  2. Step 2: Convert to fraction form
    311,185.50/633,795 = 633,795/x
  3. Step 3: Cross multiply
    311,185.50x = 633,795 × 633,795
  4. Step 4: Simplify right side
    311,185.50x = 401,696,102,025
  5. Step 5: Solve for x
    x = 401,696,102,025/311,185.50
  6. Step 6: Final answer
    x = 1,290,857.39

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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.