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Finding the Third Proportional to 495.57 and 1,089.23

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Solution

The third proportional to 495.57 and 1,089.23 is: 2,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 1,089.23 = 1,089.23 : x
  2. Step 2: Convert to fraction form
    495.57/1,089.23 = 1,089.23/x
  3. Step 3: Cross multiply
    495.57x = 1,089.23 × 1,089.23
  4. Step 4: Simplify right side
    495.57x = 1,186,418.76
  5. Step 5: Solve for x
    x = 1,186,418.76/495.57
  6. Step 6: Final answer
    x = 2,394.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.