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Finding the Third Proportional to 311,916 and 444,546

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Solution

The third proportional to 311,916 and 444,546 is: 633,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,916 : 444,546 = 444,546 : x
  2. Step 2: Convert to fraction form
    311,916/444,546 = 444,546/x
  3. Step 3: Cross multiply
    311,916x = 444,546 × 444,546
  4. Step 4: Simplify right side
    311,916x = 197,621,146,116
  5. Step 5: Solve for x
    x = 197,621,146,116/311,916
  6. Step 6: Final answer
    x = 633,571.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.