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Finding the Third Proportional to 580.25 and 1,201.75

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Solution

The third proportional to 580.25 and 1,201.75 is: 2,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 1,201.75 = 1,201.75 : x
  2. Step 2: Convert to fraction form
    580.25/1,201.75 = 1,201.75/x
  3. Step 3: Cross multiply
    580.25x = 1,201.75 × 1,201.75
  4. Step 4: Simplify right side
    580.25x = 1,444,203.06
  5. Step 5: Solve for x
    x = 1,444,203.06/580.25
  6. Step 6: Final answer
    x = 2,488.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.