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Finding the Third Proportional to 579.00 and 1,273.31

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Solution

The third proportional to 579.00 and 1,273.31 is: 2,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.00 : 1,273.31 = 1,273.31 : x
  2. Step 2: Convert to fraction form
    579.00/1,273.31 = 1,273.31/x
  3. Step 3: Cross multiply
    579.00x = 1,273.31 × 1,273.31
  4. Step 4: Simplify right side
    579.00x = 1,621,320.99
  5. Step 5: Solve for x
    x = 1,621,320.99/579.00
  6. Step 6: Final answer
    x = 2,800.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.