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Finding the Third Proportional to 281,920 and 587,166

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Solution

The third proportional to 281,920 and 587,166 is: 1,222,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,920 : 587,166 = 587,166 : x
  2. Step 2: Convert to fraction form
    281,920/587,166 = 587,166/x
  3. Step 3: Cross multiply
    281,920x = 587,166 × 587,166
  4. Step 4: Simplify right side
    281,920x = 344,763,911,556
  5. Step 5: Solve for x
    x = 344,763,911,556/281,920
  6. Step 6: Final answer
    x = 1,222,913.99

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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.