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Finding the Third Proportional to 271,271.25 and 589,244.63

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Solution

The third proportional to 271,271.25 and 589,244.63 is: 1,279,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,271.25 : 589,244.63 = 589,244.63 : x
  2. Step 2: Convert to fraction form
    271,271.25/589,244.63 = 589,244.63/x
  3. Step 3: Cross multiply
    271,271.25x = 589,244.63 × 589,244.63
  4. Step 4: Simplify right side
    271,271.25x = 347,209,228,091.39
  5. Step 5: Solve for x
    x = 347,209,228,091.39/271,271.25
  6. Step 6: Final answer
    x = 1,279,933.75

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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.