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Finding the Third Proportional to 367,904 and 494,409

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Solution

The third proportional to 367,904 and 494,409 is: 664,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,904 : 494,409 = 494,409 : x
  2. Step 2: Convert to fraction form
    367,904/494,409 = 494,409/x
  3. Step 3: Cross multiply
    367,904x = 494,409 × 494,409
  4. Step 4: Simplify right side
    367,904x = 244,440,259,281
  5. Step 5: Solve for x
    x = 244,440,259,281/367,904
  6. Step 6: Final answer
    x = 664,413.16

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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.