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Finding the Third Proportional to 224,724 and 496,176

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Solution

The third proportional to 224,724 and 496,176 is: 1,095,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,724 : 496,176 = 496,176 : x
  2. Step 2: Convert to fraction form
    224,724/496,176 = 496,176/x
  3. Step 3: Cross multiply
    224,724x = 496,176 × 496,176
  4. Step 4: Simplify right side
    224,724x = 246,190,622,976
  5. Step 5: Solve for x
    x = 246,190,622,976/224,724
  6. Step 6: Final answer
    x = 1,095,524.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.