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Finding the Third Proportional to 367,064 and 494,004

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Solution

The third proportional to 367,064 and 494,004 is: 664,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,064 : 494,004 = 494,004 : x
  2. Step 2: Convert to fraction form
    367,064/494,004 = 494,004/x
  3. Step 3: Cross multiply
    367,064x = 494,004 × 494,004
  4. Step 4: Simplify right side
    367,064x = 244,039,952,016
  5. Step 5: Solve for x
    x = 244,039,952,016/367,064
  6. Step 6: Final answer
    x = 664,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.