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Finding the Third Proportional to 311,619 and 670,905

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Solution

The third proportional to 311,619 and 670,905 is: 1,444,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,619 : 670,905 = 670,905 : x
  2. Step 2: Convert to fraction form
    311,619/670,905 = 670,905/x
  3. Step 3: Cross multiply
    311,619x = 670,905 × 670,905
  4. Step 4: Simplify right side
    311,619x = 450,113,519,025
  5. Step 5: Solve for x
    x = 450,113,519,025/311,619
  6. Step 6: Final answer
    x = 1,444,435.41

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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.