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Finding the Third Proportional to 447,611 and 694,107

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Solution

The third proportional to 447,611 and 694,107 is: 1,076,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,611 : 694,107 = 694,107 : x
  2. Step 2: Convert to fraction form
    447,611/694,107 = 694,107/x
  3. Step 3: Cross multiply
    447,611x = 694,107 × 694,107
  4. Step 4: Simplify right side
    447,611x = 481,784,527,449
  5. Step 5: Solve for x
    x = 481,784,527,449/447,611
  6. Step 6: Final answer
    x = 1,076,346.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.