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Finding the Third Proportional to 407.25 and 965.63

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Solution

The third proportional to 407.25 and 965.63 is: 2,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 965.63 = 965.63 : x
  2. Step 2: Convert to fraction form
    407.25/965.63 = 965.63/x
  3. Step 3: Cross multiply
    407.25x = 965.63 × 965.63
  4. Step 4: Simplify right side
    407.25x = 932,431.64
  5. Step 5: Solve for x
    x = 932,431.64/407.25
  6. Step 6: Final answer
    x = 2,289.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.