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Finding the Third Proportional to 281,194 and 603,942

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Solution

The third proportional to 281,194 and 603,942 is: 1,297,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,194 : 603,942 = 603,942 : x
  2. Step 2: Convert to fraction form
    281,194/603,942 = 603,942/x
  3. Step 3: Cross multiply
    281,194x = 603,942 × 603,942
  4. Step 4: Simplify right side
    281,194x = 364,745,939,364
  5. Step 5: Solve for x
    x = 364,745,939,364/281,194
  6. Step 6: Final answer
    x = 1,297,132.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.