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Finding the Third Proportional to 561.94 and 1,201.22

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Solution

The third proportional to 561.94 and 1,201.22 is: 2,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.94 : 1,201.22 = 1,201.22 : x
  2. Step 2: Convert to fraction form
    561.94/1,201.22 = 1,201.22/x
  3. Step 3: Cross multiply
    561.94x = 1,201.22 × 1,201.22
  4. Step 4: Simplify right side
    561.94x = 1,442,926.49
  5. Step 5: Solve for x
    x = 1,442,926.49/561.94
  6. Step 6: Final answer
    x = 2,567.77

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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.