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Finding the Third Proportional to 289.94 and 610.25

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Solution

The third proportional to 289.94 and 610.25 is: 1,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.94 : 610.25 = 610.25 : x
  2. Step 2: Convert to fraction form
    289.94/610.25 = 610.25/x
  3. Step 3: Cross multiply
    289.94x = 610.25 × 610.25
  4. Step 4: Simplify right side
    289.94x = 372,405.06
  5. Step 5: Solve for x
    x = 372,405.06/289.94
  6. Step 6: Final answer
    x = 1,284.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.