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Finding the Third Proportional to 271,279.50 and 589,260

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Solution

The third proportional to 271,279.50 and 589,260 is: 1,279,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,279.50 : 589,260 = 589,260 : x
  2. Step 2: Convert to fraction form
    271,279.50/589,260 = 589,260/x
  3. Step 3: Cross multiply
    271,279.50x = 589,260 × 589,260
  4. Step 4: Simplify right side
    271,279.50x = 347,227,347,600
  5. Step 5: Solve for x
    x = 347,227,347,600/271,279.50
  6. Step 6: Final answer
    x = 1,279,961.62

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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.