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Finding the Third Proportional to 271,350 and 398,900.25

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Solution

The third proportional to 271,350 and 398,900.25 is: 586,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,350 : 398,900.25 = 398,900.25 : x
  2. Step 2: Convert to fraction form
    271,350/398,900.25 = 398,900.25/x
  3. Step 3: Cross multiply
    271,350x = 398,900.25 × 398,900.25
  4. Step 4: Simplify right side
    271,350x = 159,121,409,450.06
  5. Step 5: Solve for x
    x = 159,121,409,450.06/271,350
  6. Step 6: Final answer
    x = 586,406.52

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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.