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Finding the Third Proportional to 566.63 and 849.56

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Solution

The third proportional to 566.63 and 849.56 is: 1,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 849.56 = 849.56 : x
  2. Step 2: Convert to fraction form
    566.63/849.56 = 849.56/x
  3. Step 3: Cross multiply
    566.63x = 849.56 × 849.56
  4. Step 4: Simplify right side
    566.63x = 721,756.44
  5. Step 5: Solve for x
    x = 721,756.44/566.63
  6. Step 6: Final answer
    x = 1,273.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.