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Finding the Third Proportional to 271,272.75 and 589,248

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Solution

The third proportional to 271,272.75 and 589,248 is: 1,279,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,272.75 : 589,248 = 589,248 : x
  2. Step 2: Convert to fraction form
    271,272.75/589,248 = 589,248/x
  3. Step 3: Cross multiply
    271,272.75x = 589,248 × 589,248
  4. Step 4: Simplify right side
    271,272.75x = 347,213,205,504
  5. Step 5: Solve for x
    x = 347,213,205,504/271,272.75
  6. Step 6: Final answer
    x = 1,279,941.33

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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.