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Finding the Third Proportional to 566.44 and 828.28

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Solution

The third proportional to 566.44 and 828.28 is: 1,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.44 : 828.28 = 828.28 : x
  2. Step 2: Convert to fraction form
    566.44/828.28 = 828.28/x
  3. Step 3: Cross multiply
    566.44x = 828.28 × 828.28
  4. Step 4: Simplify right side
    566.44x = 686,049.83
  5. Step 5: Solve for x
    x = 686,049.83/566.44
  6. Step 6: Final answer
    x = 1,211.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.