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Finding the Third Proportional to 311,444 and 481,174

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Solution

The third proportional to 311,444 and 481,174 is: 743,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,444 : 481,174 = 481,174 : x
  2. Step 2: Convert to fraction form
    311,444/481,174 = 481,174/x
  3. Step 3: Cross multiply
    311,444x = 481,174 × 481,174
  4. Step 4: Simplify right side
    311,444x = 231,528,418,276
  5. Step 5: Solve for x
    x = 231,528,418,276/311,444
  6. Step 6: Final answer
    x = 743,403.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.