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Finding the Third Proportional to 447,660.75 and 694,184.63

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Solution

The third proportional to 447,660.75 and 694,184.63 is: 1,076,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,660.75 : 694,184.63 = 694,184.63 : x
  2. Step 2: Convert to fraction form
    447,660.75/694,184.63 = 694,184.63/x
  3. Step 3: Cross multiply
    447,660.75x = 694,184.63 × 694,184.63
  4. Step 4: Simplify right side
    447,660.75x = 481,892,293,586.39
  5. Step 5: Solve for x
    x = 481,892,293,586.39/447,660.75
  6. Step 6: Final answer
    x = 1,076,467.60

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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.