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Finding the Third Proportional to 271,366.50 and 398,910

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Solution

The third proportional to 271,366.50 and 398,910 is: 586,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,366.50 : 398,910 = 398,910 : x
  2. Step 2: Convert to fraction form
    271,366.50/398,910 = 398,910/x
  3. Step 3: Cross multiply
    271,366.50x = 398,910 × 398,910
  4. Step 4: Simplify right side
    271,366.50x = 159,129,188,100
  5. Step 5: Solve for x
    x = 159,129,188,100/271,366.50
  6. Step 6: Final answer
    x = 586,399.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.