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Finding the Third Proportional to 466.94 and 933.88

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Solution

The third proportional to 466.94 and 933.88 is: 1,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.94 : 933.88 = 933.88 : x
  2. Step 2: Convert to fraction form
    466.94/933.88 = 933.88/x
  3. Step 3: Cross multiply
    466.94x = 933.88 × 933.88
  4. Step 4: Simplify right side
    466.94x = 872,122.52
  5. Step 5: Solve for x
    x = 872,122.52/466.94
  6. Step 6: Final answer
    x = 1,867.75

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.