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Finding the Third Proportional to 559.78 and 1,213.78

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Solution

The third proportional to 559.78 and 1,213.78 is: 2,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.78 : 1,213.78 = 1,213.78 : x
  2. Step 2: Convert to fraction form
    559.78/1,213.78 = 1,213.78/x
  3. Step 3: Cross multiply
    559.78x = 1,213.78 × 1,213.78
  4. Step 4: Simplify right side
    559.78x = 1,473,264.92
  5. Step 5: Solve for x
    x = 1,473,264.92/559.78
  6. Step 6: Final answer
    x = 2,631.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.