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Finding the Third Proportional to 271,311.56 and 589,314.56

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Solution

The third proportional to 271,311.56 and 589,314.56 is: 1,280,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,311.56 : 589,314.56 = 589,314.56 : x
  2. Step 2: Convert to fraction form
    271,311.56/589,314.56 = 589,314.56/x
  3. Step 3: Cross multiply
    271,311.56x = 589,314.56 × 589,314.56
  4. Step 4: Simplify right side
    271,311.56x = 347,291,653,574.57
  5. Step 5: Solve for x
    x = 347,291,653,574.57/271,311.56
  6. Step 6: Final answer
    x = 1,280,047.38

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Why These Related Problems?

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