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Finding the Third Proportional to 311,664 and 444,144

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Solution

The third proportional to 311,664 and 444,144 is: 632,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,664 : 444,144 = 444,144 : x
  2. Step 2: Convert to fraction form
    311,664/444,144 = 444,144/x
  3. Step 3: Cross multiply
    311,664x = 444,144 × 444,144
  4. Step 4: Simplify right side
    311,664x = 197,263,892,736
  5. Step 5: Solve for x
    x = 197,263,892,736/311,664
  6. Step 6: Final answer
    x = 632,937.69

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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.