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Finding the Third Proportional to 562.94 and 1,205.56

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Solution

The third proportional to 562.94 and 1,205.56 is: 2,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 1,205.56 = 1,205.56 : x
  2. Step 2: Convert to fraction form
    562.94/1,205.56 = 1,205.56/x
  3. Step 3: Cross multiply
    562.94x = 1,205.56 × 1,205.56
  4. Step 4: Simplify right side
    562.94x = 1,453,380.94
  5. Step 5: Solve for x
    x = 1,453,380.94/562.94
  6. Step 6: Final answer
    x = 2,581.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.