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Finding the Third Proportional to 426.75 and 589.69

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Solution

The third proportional to 426.75 and 589.69 is: 814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 589.69 = 589.69 : x
  2. Step 2: Convert to fraction form
    426.75/589.69 = 589.69/x
  3. Step 3: Cross multiply
    426.75x = 589.69 × 589.69
  4. Step 4: Simplify right side
    426.75x = 347,731.35
  5. Step 5: Solve for x
    x = 347,731.35/426.75
  6. Step 6: Final answer
    x = 814.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.