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Finding the Third Proportional to 553.75 and 1,205.38

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Solution

The third proportional to 553.75 and 1,205.38 is: 2,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.75 : 1,205.38 = 1,205.38 : x
  2. Step 2: Convert to fraction form
    553.75/1,205.38 = 1,205.38/x
  3. Step 3: Cross multiply
    553.75x = 1,205.38 × 1,205.38
  4. Step 4: Simplify right side
    553.75x = 1,452,928.89
  5. Step 5: Solve for x
    x = 1,452,928.89/553.75
  6. Step 6: Final answer
    x = 2,623.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.