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Finding the Third Proportional to 554.50 and 1,144

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Solution

The third proportional to 554.50 and 1,144 is: 2,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 1,144 = 1,144 : x
  2. Step 2: Convert to fraction form
    554.50/1,144 = 1,144/x
  3. Step 3: Cross multiply
    554.50x = 1,144 × 1,144
  4. Step 4: Simplify right side
    554.50x = 1,308,736
  5. Step 5: Solve for x
    x = 1,308,736/554.50
  6. Step 6: Final answer
    x = 2,360.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.