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Finding the Third Proportional to 242,232 and 494,286

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Solution

The third proportional to 242,232 and 494,286 is: 1,008,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,232 : 494,286 = 494,286 : x
  2. Step 2: Convert to fraction form
    242,232/494,286 = 494,286/x
  3. Step 3: Cross multiply
    242,232x = 494,286 × 494,286
  4. Step 4: Simplify right side
    242,232x = 244,318,649,796
  5. Step 5: Solve for x
    x = 244,318,649,796/242,232
  6. Step 6: Final answer
    x = 1,008,614.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.