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Finding the Third Proportional to 271,750.50 and 585,054

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Solution

The third proportional to 271,750.50 and 585,054 is: 1,259,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,750.50 : 585,054 = 585,054 : x
  2. Step 2: Convert to fraction form
    271,750.50/585,054 = 585,054/x
  3. Step 3: Cross multiply
    271,750.50x = 585,054 × 585,054
  4. Step 4: Simplify right side
    271,750.50x = 342,288,182,916
  5. Step 5: Solve for x
    x = 342,288,182,916/271,750.50
  6. Step 6: Final answer
    x = 1,259,567.81

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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.