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Finding the Third Proportional to 569.44 and 1,224.56

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Solution

The third proportional to 569.44 and 1,224.56 is: 2,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.44 : 1,224.56 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    569.44/1,224.56 = 1,224.56/x
  3. Step 3: Cross multiply
    569.44x = 1,224.56 × 1,224.56
  4. Step 4: Simplify right side
    569.44x = 1,499,553.32
  5. Step 5: Solve for x
    x = 1,499,553.32/569.44
  6. Step 6: Final answer
    x = 2,633.39

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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.