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Finding the Third Proportional to 495.61 and 1,079.48

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Solution

The third proportional to 495.61 and 1,079.48 is: 2,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.61 : 1,079.48 = 1,079.48 : x
  2. Step 2: Convert to fraction form
    495.61/1,079.48 = 1,079.48/x
  3. Step 3: Cross multiply
    495.61x = 1,079.48 × 1,079.48
  4. Step 4: Simplify right side
    495.61x = 1,165,286.52
  5. Step 5: Solve for x
    x = 1,165,286.52/495.61
  6. Step 6: Final answer
    x = 2,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.