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Finding the Third Proportional to 406.27 and 589.71

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Solution

The third proportional to 406.27 and 589.71 is: 855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 589.71 = 589.71 : x
  2. Step 2: Convert to fraction form
    406.27/589.71 = 589.71/x
  3. Step 3: Cross multiply
    406.27x = 589.71 × 589.71
  4. Step 4: Simplify right side
    406.27x = 347,758.99
  5. Step 5: Solve for x
    x = 347,758.99/406.27
  6. Step 6: Final answer
    x = 855.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.