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Finding the Third Proportional to 447,255 and 894,144

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Solution

The third proportional to 447,255 and 894,144 is: 1,787,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,255 : 894,144 = 894,144 : x
  2. Step 2: Convert to fraction form
    447,255/894,144 = 894,144/x
  3. Step 3: Cross multiply
    447,255x = 894,144 × 894,144
  4. Step 4: Simplify right side
    447,255x = 799,493,492,736
  5. Step 5: Solve for x
    x = 799,493,492,736/447,255
  6. Step 6: Final answer
    x = 1,787,556.30

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.