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Finding the Third Proportional to 442.75 and 933.88

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Solution

The third proportional to 442.75 and 933.88 is: 1,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 933.88 = 933.88 : x
  2. Step 2: Convert to fraction form
    442.75/933.88 = 933.88/x
  3. Step 3: Cross multiply
    442.75x = 933.88 × 933.88
  4. Step 4: Simplify right side
    442.75x = 872,122.52
  5. Step 5: Solve for x
    x = 872,122.52/442.75
  6. Step 6: Final answer
    x = 1,969.79

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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.