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Finding the Third Proportional to 315,704 and 481,436

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Solution

The third proportional to 315,704 and 481,436 is: 734,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,704 : 481,436 = 481,436 : x
  2. Step 2: Convert to fraction form
    315,704/481,436 = 481,436/x
  3. Step 3: Cross multiply
    315,704x = 481,436 × 481,436
  4. Step 4: Simplify right side
    315,704x = 231,780,622,096
  5. Step 5: Solve for x
    x = 231,780,622,096/315,704
  6. Step 6: Final answer
    x = 734,170.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.