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Finding the Third Proportional to 566.16 and 1,340.44

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Solution

The third proportional to 566.16 and 1,340.44 is: 3,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 1,340.44 = 1,340.44 : x
  2. Step 2: Convert to fraction form
    566.16/1,340.44 = 1,340.44/x
  3. Step 3: Cross multiply
    566.16x = 1,340.44 × 1,340.44
  4. Step 4: Simplify right side
    566.16x = 1,796,772.69
  5. Step 5: Solve for x
    x = 1,796,772.69/566.16
  6. Step 6: Final answer
    x = 3,173.63

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.