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Finding the Third Proportional to 311,104 and 481,235

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Solution

The third proportional to 311,104 and 481,235 is: 744,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,104 : 481,235 = 481,235 : x
  2. Step 2: Convert to fraction form
    311,104/481,235 = 481,235/x
  3. Step 3: Cross multiply
    311,104x = 481,235 × 481,235
  4. Step 4: Simplify right side
    311,104x = 231,587,125,225
  5. Step 5: Solve for x
    x = 231,587,125,225/311,104
  6. Step 6: Final answer
    x = 744,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.