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Finding the Third Proportional to 281,923 and 587,173

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Solution

The third proportional to 281,923 and 587,173 is: 1,222,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,923 : 587,173 = 587,173 : x
  2. Step 2: Convert to fraction form
    281,923/587,173 = 587,173/x
  3. Step 3: Cross multiply
    281,923x = 587,173 × 587,173
  4. Step 4: Simplify right side
    281,923x = 344,772,131,929
  5. Step 5: Solve for x
    x = 344,772,131,929/281,923
  6. Step 6: Final answer
    x = 1,222,930.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.