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Finding the Third Proportional to 315,713 and 481,449

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Solution

The third proportional to 315,713 and 481,449 is: 734,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,713 : 481,449 = 481,449 : x
  2. Step 2: Convert to fraction form
    315,713/481,449 = 481,449/x
  3. Step 3: Cross multiply
    315,713x = 481,449 × 481,449
  4. Step 4: Simplify right side
    315,713x = 231,793,139,601
  5. Step 5: Solve for x
    x = 231,793,139,601/315,713
  6. Step 6: Final answer
    x = 734,189.40

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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.