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Finding the Third Proportional to 442.69 and 927.84

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Solution

The third proportional to 442.69 and 927.84 is: 1,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 927.84 = 927.84 : x
  2. Step 2: Convert to fraction form
    442.69/927.84 = 927.84/x
  3. Step 3: Cross multiply
    442.69x = 927.84 × 927.84
  4. Step 4: Simplify right side
    442.69x = 860,894.02
  5. Step 5: Solve for x
    x = 860,894.02/442.69
  6. Step 6: Final answer
    x = 1,944.70

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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.