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Finding the Third Proportional to 271,608.75 and 584,635.50

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Solution

The third proportional to 271,608.75 and 584,635.50 is: 1,258,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608.75 : 584,635.50 = 584,635.50 : x
  2. Step 2: Convert to fraction form
    271,608.75/584,635.50 = 584,635.50/x
  3. Step 3: Cross multiply
    271,608.75x = 584,635.50 × 584,635.50
  4. Step 4: Simplify right side
    271,608.75x = 341,798,667,860.25
  5. Step 5: Solve for x
    x = 341,798,667,860.25/271,608.75
  6. Step 6: Final answer
    x = 1,258,422.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.