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Finding the Third Proportional to 233,197 and 494,420

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Solution

The third proportional to 233,197 and 494,420 is: 1,048,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,197 : 494,420 = 494,420 : x
  2. Step 2: Convert to fraction form
    233,197/494,420 = 494,420/x
  3. Step 3: Cross multiply
    233,197x = 494,420 × 494,420
  4. Step 4: Simplify right side
    233,197x = 244,451,136,400
  5. Step 5: Solve for x
    x = 244,451,136,400/233,197
  6. Step 6: Final answer
    x = 1,048,260.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.