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Finding the Third Proportional to 554.06 and 1,171.69

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Solution

The third proportional to 554.06 and 1,171.69 is: 2,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.06 : 1,171.69 = 1,171.69 : x
  2. Step 2: Convert to fraction form
    554.06/1,171.69 = 1,171.69/x
  3. Step 3: Cross multiply
    554.06x = 1,171.69 × 1,171.69
  4. Step 4: Simplify right side
    554.06x = 1,372,851.60
  5. Step 5: Solve for x
    x = 1,372,851.60/554.06
  6. Step 6: Final answer
    x = 2,477.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.