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Finding the Third Proportional to 335,909 and 494,062

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Solution

The third proportional to 335,909 and 494,062 is: 726,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,909 : 494,062 = 494,062 : x
  2. Step 2: Convert to fraction form
    335,909/494,062 = 494,062/x
  3. Step 3: Cross multiply
    335,909x = 494,062 × 494,062
  4. Step 4: Simplify right side
    335,909x = 244,097,259,844
  5. Step 5: Solve for x
    x = 244,097,259,844/335,909
  6. Step 6: Final answer
    x = 726,676.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.