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Finding the Third Proportional to 271,314 and 398,850.75

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Solution

The third proportional to 271,314 and 398,850.75 is: 586,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,314 : 398,850.75 = 398,850.75 : x
  2. Step 2: Convert to fraction form
    271,314/398,850.75 = 398,850.75/x
  3. Step 3: Cross multiply
    271,314x = 398,850.75 × 398,850.75
  4. Step 4: Simplify right side
    271,314x = 159,081,920,775.56
  5. Step 5: Solve for x
    x = 159,081,920,775.56/271,314
  6. Step 6: Final answer
    x = 586,338.78

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Why These Related Problems?

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