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Finding the Third Proportional to 447,624 and 694,126

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Solution

The third proportional to 447,624 and 694,126 is: 1,076,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,624 : 694,126 = 694,126 : x
  2. Step 2: Convert to fraction form
    447,624/694,126 = 694,126/x
  3. Step 3: Cross multiply
    447,624x = 694,126 × 694,126
  4. Step 4: Simplify right side
    447,624x = 481,810,903,876
  5. Step 5: Solve for x
    x = 481,810,903,876/447,624
  6. Step 6: Final answer
    x = 1,076,374.15

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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.