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Finding the Third Proportional to 271,282.50 and 589,266

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Solution

The third proportional to 271,282.50 and 589,266 is: 1,279,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,282.50 : 589,266 = 589,266 : x
  2. Step 2: Convert to fraction form
    271,282.50/589,266 = 589,266/x
  3. Step 3: Cross multiply
    271,282.50x = 589,266 × 589,266
  4. Step 4: Simplify right side
    271,282.50x = 347,234,418,756
  5. Step 5: Solve for x
    x = 347,234,418,756/271,282.50
  6. Step 6: Final answer
    x = 1,279,973.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.