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Finding the Third Proportional to 495.19 and 1,018.22

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Solution

The third proportional to 495.19 and 1,018.22 is: 2,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 1,018.22 = 1,018.22 : x
  2. Step 2: Convert to fraction form
    495.19/1,018.22 = 1,018.22/x
  3. Step 3: Cross multiply
    495.19x = 1,018.22 × 1,018.22
  4. Step 4: Simplify right side
    495.19x = 1,036,769.42
  5. Step 5: Solve for x
    x = 1,036,769.42/495.19
  6. Step 6: Final answer
    x = 2,093.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.