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Finding the Third Proportional to 447,666 and 694,194

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Solution

The third proportional to 447,666 and 694,194 is: 1,076,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,666 : 694,194 = 694,194 : x
  2. Step 2: Convert to fraction form
    447,666/694,194 = 694,194/x
  3. Step 3: Cross multiply
    447,666x = 694,194 × 694,194
  4. Step 4: Simplify right side
    447,666x = 481,905,309,636
  5. Step 5: Solve for x
    x = 481,905,309,636/447,666
  6. Step 6: Final answer
    x = 1,076,484.05

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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.