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Finding the Third Proportional to 271,928.25 and 598,227.75

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Solution

The third proportional to 271,928.25 and 598,227.75 is: 1,316,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.25 : 598,227.75 = 598,227.75 : x
  2. Step 2: Convert to fraction form
    271,928.25/598,227.75 = 598,227.75/x
  3. Step 3: Cross multiply
    271,928.25x = 598,227.75 × 598,227.75
  4. Step 4: Simplify right side
    271,928.25x = 357,876,440,870.06
  5. Step 5: Solve for x
    x = 357,876,440,870.06/271,928.25
  6. Step 6: Final answer
    x = 1,316,069.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.