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Finding the Third Proportional to 271,014 and 583,651.50

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Solution

The third proportional to 271,014 and 583,651.50 is: 1,256,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,014 : 583,651.50 = 583,651.50 : x
  2. Step 2: Convert to fraction form
    271,014/583,651.50 = 583,651.50/x
  3. Step 3: Cross multiply
    271,014x = 583,651.50 × 583,651.50
  4. Step 4: Simplify right side
    271,014x = 340,649,073,452.25
  5. Step 5: Solve for x
    x = 340,649,073,452.25/271,014
  6. Step 6: Final answer
    x = 1,256,942.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.