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Finding the Third Proportional to 869.91 and 1,232.30

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Solution

The third proportional to 869.91 and 1,232.30 is: 1,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.91 : 1,232.30 = 1,232.30 : x
  2. Step 2: Convert to fraction form
    869.91/1,232.30 = 1,232.30/x
  3. Step 3: Cross multiply
    869.91x = 1,232.30 × 1,232.30
  4. Step 4: Simplify right side
    869.91x = 1,518,555.59
  5. Step 5: Solve for x
    x = 1,518,555.59/869.91
  6. Step 6: Final answer
    x = 1,745.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.