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Finding the Third Proportional to 447,609 and 694,104

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Solution

The third proportional to 447,609 and 694,104 is: 1,076,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,609 : 694,104 = 694,104 : x
  2. Step 2: Convert to fraction form
    447,609/694,104 = 694,104/x
  3. Step 3: Cross multiply
    447,609x = 694,104 × 694,104
  4. Step 4: Simplify right side
    447,609x = 481,780,362,816
  5. Step 5: Solve for x
    x = 481,780,362,816/447,609
  6. Step 6: Final answer
    x = 1,076,341.99

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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.