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Finding the Third Proportional to 560.25 and 1,233.56

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Solution

The third proportional to 560.25 and 1,233.56 is: 2,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 1,233.56 = 1,233.56 : x
  2. Step 2: Convert to fraction form
    560.25/1,233.56 = 1,233.56/x
  3. Step 3: Cross multiply
    560.25x = 1,233.56 × 1,233.56
  4. Step 4: Simplify right side
    560.25x = 1,521,676.44
  5. Step 5: Solve for x
    x = 1,521,676.44/560.25
  6. Step 6: Final answer
    x = 2,716.07

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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.