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Finding the Third Proportional to 812.19 and 1,212.88

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Solution

The third proportional to 812.19 and 1,212.88 is: 1,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.19 : 1,212.88 = 1,212.88 : x
  2. Step 2: Convert to fraction form
    812.19/1,212.88 = 1,212.88/x
  3. Step 3: Cross multiply
    812.19x = 1,212.88 × 1,212.88
  4. Step 4: Simplify right side
    812.19x = 1,471,065.77
  5. Step 5: Solve for x
    x = 1,471,065.77/812.19
  6. Step 6: Final answer
    x = 1,811.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.