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Finding the Third Proportional to 299,260 and 451,996

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Solution

The third proportional to 299,260 and 451,996 is: 682,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,260 : 451,996 = 451,996 : x
  2. Step 2: Convert to fraction form
    299,260/451,996 = 451,996/x
  3. Step 3: Cross multiply
    299,260x = 451,996 × 451,996
  4. Step 4: Simplify right side
    299,260x = 204,300,384,016
  5. Step 5: Solve for x
    x = 204,300,384,016/299,260
  6. Step 6: Final answer
    x = 682,685.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.