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Finding the Third Proportional to 311,244 and 683,004

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Solution

The third proportional to 311,244 and 683,004 is: 1,498,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,244 : 683,004 = 683,004 : x
  2. Step 2: Convert to fraction form
    311,244/683,004 = 683,004/x
  3. Step 3: Cross multiply
    311,244x = 683,004 × 683,004
  4. Step 4: Simplify right side
    311,244x = 466,494,464,016
  5. Step 5: Solve for x
    x = 466,494,464,016/311,244
  6. Step 6: Final answer
    x = 1,498,806.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.