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Finding the Third Proportional to 339,094 and 496,491

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Solution

The third proportional to 339,094 and 496,491 is: 726,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,094 : 496,491 = 496,491 : x
  2. Step 2: Convert to fraction form
    339,094/496,491 = 496,491/x
  3. Step 3: Cross multiply
    339,094x = 496,491 × 496,491
  4. Step 4: Simplify right side
    339,094x = 246,503,313,081
  5. Step 5: Solve for x
    x = 246,503,313,081/339,094
  6. Step 6: Final answer
    x = 726,946.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.