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Finding the Third Proportional to 865.69 and 1,322.44

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Solution

The third proportional to 865.69 and 1,322.44 is: 2,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,322.44 = 1,322.44 : x
  2. Step 2: Convert to fraction form
    865.69/1,322.44 = 1,322.44/x
  3. Step 3: Cross multiply
    865.69x = 1,322.44 × 1,322.44
  4. Step 4: Simplify right side
    865.69x = 1,748,840.94
  5. Step 5: Solve for x
    x = 1,748,840.94/865.69
  6. Step 6: Final answer
    x = 2,020.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.