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Finding the Third Proportional to 281,907 and 587,142

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Solution

The third proportional to 281,907 and 587,142 is: 1,222,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,907 : 587,142 = 587,142 : x
  2. Step 2: Convert to fraction form
    281,907/587,142 = 587,142/x
  3. Step 3: Cross multiply
    281,907x = 587,142 × 587,142
  4. Step 4: Simplify right side
    281,907x = 344,735,728,164
  5. Step 5: Solve for x
    x = 344,735,728,164/281,907
  6. Step 6: Final answer
    x = 1,222,870.41

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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.