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Finding the Third Proportional to 465.54 and 968.84

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Solution

The third proportional to 465.54 and 968.84 is: 2,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 968.84 = 968.84 : x
  2. Step 2: Convert to fraction form
    465.54/968.84 = 968.84/x
  3. Step 3: Cross multiply
    465.54x = 968.84 × 968.84
  4. Step 4: Simplify right side
    465.54x = 938,643.07
  5. Step 5: Solve for x
    x = 938,643.07/465.54
  6. Step 6: Final answer
    x = 2,016.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.