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Finding the Third Proportional to 465.75 and 984.66

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Solution

The third proportional to 465.75 and 984.66 is: 2,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 984.66 = 984.66 : x
  2. Step 2: Convert to fraction form
    465.75/984.66 = 984.66/x
  3. Step 3: Cross multiply
    465.75x = 984.66 × 984.66
  4. Step 4: Simplify right side
    465.75x = 969,547.93
  5. Step 5: Solve for x
    x = 969,547.93/465.75
  6. Step 6: Final answer
    x = 2,081.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.