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Finding the Third Proportional to 373,984 and 816,512

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Solution

The third proportional to 373,984 and 816,512 is: 1,782,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,984 : 816,512 = 816,512 : x
  2. Step 2: Convert to fraction form
    373,984/816,512 = 816,512/x
  3. Step 3: Cross multiply
    373,984x = 816,512 × 816,512
  4. Step 4: Simplify right side
    373,984x = 666,691,846,144
  5. Step 5: Solve for x
    x = 666,691,846,144/373,984
  6. Step 6: Final answer
    x = 1,782,674.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.