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Finding the Third Proportional to 646.25 and 967.75

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Solution

The third proportional to 646.25 and 967.75 is: 1,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.25 : 967.75 = 967.75 : x
  2. Step 2: Convert to fraction form
    646.25/967.75 = 967.75/x
  3. Step 3: Cross multiply
    646.25x = 967.75 × 967.75
  4. Step 4: Simplify right side
    646.25x = 936,540.06
  5. Step 5: Solve for x
    x = 936,540.06/646.25
  6. Step 6: Final answer
    x = 1,449.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.