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Finding the Third Proportional to 374.88 and 892.50

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Solution

The third proportional to 374.88 and 892.50 is: 2,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 892.50 = 892.50 : x
  2. Step 2: Convert to fraction form
    374.88/892.50 = 892.50/x
  3. Step 3: Cross multiply
    374.88x = 892.50 × 892.50
  4. Step 4: Simplify right side
    374.88x = 796,556.25
  5. Step 5: Solve for x
    x = 796,556.25/374.88
  6. Step 6: Final answer
    x = 2,124.86

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.