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Finding the Third Proportional to 566.72 and 1,194.19

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Solution

The third proportional to 566.72 and 1,194.19 is: 2,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 1,194.19 = 1,194.19 : x
  2. Step 2: Convert to fraction form
    566.72/1,194.19 = 1,194.19/x
  3. Step 3: Cross multiply
    566.72x = 1,194.19 × 1,194.19
  4. Step 4: Simplify right side
    566.72x = 1,426,083.79
  5. Step 5: Solve for x
    x = 1,426,083.79/566.72
  6. Step 6: Final answer
    x = 2,516.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.