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Finding the Third Proportional to 832.69 and 1,232.81

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Solution

The third proportional to 832.69 and 1,232.81 is: 1,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.69 : 1,232.81 = 1,232.81 : x
  2. Step 2: Convert to fraction form
    832.69/1,232.81 = 1,232.81/x
  3. Step 3: Cross multiply
    832.69x = 1,232.81 × 1,232.81
  4. Step 4: Simplify right side
    832.69x = 1,519,826.66
  5. Step 5: Solve for x
    x = 1,519,826.66/832.69
  6. Step 6: Final answer
    x = 1,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.