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Finding the Third Proportional to 331,714 and 497,049

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Solution

The third proportional to 331,714 and 497,049 is: 744,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,714 : 497,049 = 497,049 : x
  2. Step 2: Convert to fraction form
    331,714/497,049 = 497,049/x
  3. Step 3: Cross multiply
    331,714x = 497,049 × 497,049
  4. Step 4: Simplify right side
    331,714x = 247,057,708,401
  5. Step 5: Solve for x
    x = 247,057,708,401/331,714
  6. Step 6: Final answer
    x = 744,791.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.