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Finding the Third Proportional to 852.25 and 1,120.88

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Solution

The third proportional to 852.25 and 1,120.88 is: 1,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,120.88 = 1,120.88 : x
  2. Step 2: Convert to fraction form
    852.25/1,120.88 = 1,120.88/x
  3. Step 3: Cross multiply
    852.25x = 1,120.88 × 1,120.88
  4. Step 4: Simplify right side
    852.25x = 1,256,360.77
  5. Step 5: Solve for x
    x = 1,256,360.77/852.25
  6. Step 6: Final answer
    x = 1,474.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.