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Finding the Third Proportional to 468.14 and 984.80

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Solution

The third proportional to 468.14 and 984.80 is: 2,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 984.80 = 984.80 : x
  2. Step 2: Convert to fraction form
    468.14/984.80 = 984.80/x
  3. Step 3: Cross multiply
    468.14x = 984.80 × 984.80
  4. Step 4: Simplify right side
    468.14x = 969,824.89
  5. Step 5: Solve for x
    x = 969,824.89/468.14
  6. Step 6: Final answer
    x = 2,071.65

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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.