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Finding the Third Proportional to 367,838 and 494,313

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Solution

The third proportional to 367,838 and 494,313 is: 664,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,838 : 494,313 = 494,313 : x
  2. Step 2: Convert to fraction form
    367,838/494,313 = 494,313/x
  3. Step 3: Cross multiply
    367,838x = 494,313 × 494,313
  4. Step 4: Simplify right side
    367,838x = 244,345,341,969
  5. Step 5: Solve for x
    x = 244,345,341,969/367,838
  6. Step 6: Final answer
    x = 664,274.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.