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Finding the Third Proportional to 270,951.75 and 595,532.25

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Solution

The third proportional to 270,951.75 and 595,532.25 is: 1,308,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,951.75 : 595,532.25 = 595,532.25 : x
  2. Step 2: Convert to fraction form
    270,951.75/595,532.25 = 595,532.25/x
  3. Step 3: Cross multiply
    270,951.75x = 595,532.25 × 595,532.25
  4. Step 4: Simplify right side
    270,951.75x = 354,658,660,790.06
  5. Step 5: Solve for x
    x = 354,658,660,790.06/270,951.75
  6. Step 6: Final answer
    x = 1,308,936.59

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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.