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Finding the Third Proportional to 224,047 and 492,266

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Solution

The third proportional to 224,047 and 492,266 is: 1,081,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,047 : 492,266 = 492,266 : x
  2. Step 2: Convert to fraction form
    224,047/492,266 = 492,266/x
  3. Step 3: Cross multiply
    224,047x = 492,266 × 492,266
  4. Step 4: Simplify right side
    224,047x = 242,325,814,756
  5. Step 5: Solve for x
    x = 242,325,814,756/224,047
  6. Step 6: Final answer
    x = 1,081,584.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.