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Finding the Third Proportional to 573 and 1,255.63

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Solution

The third proportional to 573 and 1,255.63 is: 2,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    573 : 1,255.63 = 1,255.63 : x
  2. Step 2: Convert to fraction form
    573/1,255.63 = 1,255.63/x
  3. Step 3: Cross multiply
    573x = 1,255.63 × 1,255.63
  4. Step 4: Simplify right side
    573x = 1,576,594.14
  5. Step 5: Solve for x
    x = 1,576,594.14/573
  6. Step 6: Final answer
    x = 2,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.