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Finding the Third Proportional to 227,780 and 332,888

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Solution

The third proportional to 227,780 and 332,888 is: 486,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,780 : 332,888 = 332,888 : x
  2. Step 2: Convert to fraction form
    227,780/332,888 = 332,888/x
  3. Step 3: Cross multiply
    227,780x = 332,888 × 332,888
  4. Step 4: Simplify right side
    227,780x = 110,814,420,544
  5. Step 5: Solve for x
    x = 110,814,420,544/227,780
  6. Step 6: Final answer
    x = 486,497.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.