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Finding the Third Proportional to 311,738.63 and 670,099.50

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Solution

The third proportional to 311,738.63 and 670,099.50 is: 1,440,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,738.63 : 670,099.50 = 670,099.50 : x
  2. Step 2: Convert to fraction form
    311,738.63/670,099.50 = 670,099.50/x
  3. Step 3: Cross multiply
    311,738.63x = 670,099.50 × 670,099.50
  4. Step 4: Simplify right side
    311,738.63x = 449,033,339,900.25
  5. Step 5: Solve for x
    x = 449,033,339,900.25/311,738.63
  6. Step 6: Final answer
    x = 1,440,416.12

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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.