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Finding the Third Proportional to 447,634 and 694,144

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Solution

The third proportional to 447,634 and 694,144 is: 1,076,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,634 : 694,144 = 694,144 : x
  2. Step 2: Convert to fraction form
    447,634/694,144 = 694,144/x
  3. Step 3: Cross multiply
    447,634x = 694,144 × 694,144
  4. Step 4: Simplify right side
    447,634x = 481,835,892,736
  5. Step 5: Solve for x
    x = 481,835,892,736/447,634
  6. Step 6: Final answer
    x = 1,076,405.93

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