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Finding the Third Proportional to 554.41 and 1,202.55

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Solution

The third proportional to 554.41 and 1,202.55 is: 2,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.41 : 1,202.55 = 1,202.55 : x
  2. Step 2: Convert to fraction form
    554.41/1,202.55 = 1,202.55/x
  3. Step 3: Cross multiply
    554.41x = 1,202.55 × 1,202.55
  4. Step 4: Simplify right side
    554.41x = 1,446,137.78
  5. Step 5: Solve for x
    x = 1,446,137.78/554.41
  6. Step 6: Final answer
    x = 2,608.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.