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Finding the Third Proportional to 573.05 and 1,189.55

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Solution

The third proportional to 573.05 and 1,189.55 is: 2,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.05 : 1,189.55 = 1,189.55 : x
  2. Step 2: Convert to fraction form
    573.05/1,189.55 = 1,189.55/x
  3. Step 3: Cross multiply
    573.05x = 1,189.55 × 1,189.55
  4. Step 4: Simplify right side
    573.05x = 1,415,021.77
  5. Step 5: Solve for x
    x = 1,415,021.77/573.05
  6. Step 6: Final answer
    x = 2,469.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.