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Finding the Third Proportional to 223,544 and 481,936

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Solution

The third proportional to 223,544 and 481,936 is: 1,039,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,544 : 481,936 = 481,936 : x
  2. Step 2: Convert to fraction form
    223,544/481,936 = 481,936/x
  3. Step 3: Cross multiply
    223,544x = 481,936 × 481,936
  4. Step 4: Simplify right side
    223,544x = 232,262,308,096
  5. Step 5: Solve for x
    x = 232,262,308,096/223,544
  6. Step 6: Final answer
    x = 1,039,000.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.