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Finding the Third Proportional to 271,269.75 and 589,242

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Solution

The third proportional to 271,269.75 and 589,242 is: 1,279,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,269.75 : 589,242 = 589,242 : x
  2. Step 2: Convert to fraction form
    271,269.75/589,242 = 589,242/x
  3. Step 3: Cross multiply
    271,269.75x = 589,242 × 589,242
  4. Step 4: Simplify right side
    271,269.75x = 347,206,134,564
  5. Step 5: Solve for x
    x = 347,206,134,564/271,269.75
  6. Step 6: Final answer
    x = 1,279,929.42

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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.