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Finding the Third Proportional to 811.69 and 1,719.56

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Solution

The third proportional to 811.69 and 1,719.56 is: 3,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,719.56 = 1,719.56 : x
  2. Step 2: Convert to fraction form
    811.69/1,719.56 = 1,719.56/x
  3. Step 3: Cross multiply
    811.69x = 1,719.56 × 1,719.56
  4. Step 4: Simplify right side
    811.69x = 2,956,895.19
  5. Step 5: Solve for x
    x = 2,956,895.19/811.69
  6. Step 6: Final answer
    x = 3,642.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.