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Finding the Third Proportional to 566.91 and 1,176.84

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Solution

The third proportional to 566.91 and 1,176.84 is: 2,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.91 : 1,176.84 = 1,176.84 : x
  2. Step 2: Convert to fraction form
    566.91/1,176.84 = 1,176.84/x
  3. Step 3: Cross multiply
    566.91x = 1,176.84 × 1,176.84
  4. Step 4: Simplify right side
    566.91x = 1,384,961.21
  5. Step 5: Solve for x
    x = 1,384,961.21/566.91
  6. Step 6: Final answer
    x = 2,443.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.