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Finding the Third Proportional to 271,346.25 and 398,889.75

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Solution

The third proportional to 271,346.25 and 398,889.75 is: 586,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,346.25 : 398,889.75 = 398,889.75 : x
  2. Step 2: Convert to fraction form
    271,346.25/398,889.75 = 398,889.75/x
  3. Step 3: Cross multiply
    271,346.25x = 398,889.75 × 398,889.75
  4. Step 4: Simplify right side
    271,346.25x = 159,113,032,655.06
  5. Step 5: Solve for x
    x = 159,113,032,655.06/271,346.25
  6. Step 6: Final answer
    x = 586,383.75

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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.