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Finding the Third Proportional to 570.66 and 814.92

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Solution

The third proportional to 570.66 and 814.92 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.66 : 814.92 = 814.92 : x
  2. Step 2: Convert to fraction form
    570.66/814.92 = 814.92/x
  3. Step 3: Cross multiply
    570.66x = 814.92 × 814.92
  4. Step 4: Simplify right side
    570.66x = 664,097.66
  5. Step 5: Solve for x
    x = 664,097.66/570.66
  6. Step 6: Final answer
    x = 1,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.