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Finding the Third Proportional to 554.98 and 1,195.38

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Solution

The third proportional to 554.98 and 1,195.38 is: 2,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.98 : 1,195.38 = 1,195.38 : x
  2. Step 2: Convert to fraction form
    554.98/1,195.38 = 1,195.38/x
  3. Step 3: Cross multiply
    554.98x = 1,195.38 × 1,195.38
  4. Step 4: Simplify right side
    554.98x = 1,428,940.07
  5. Step 5: Solve for x
    x = 1,428,940.07/554.98
  6. Step 6: Final answer
    x = 2,574.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.