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Finding the Third Proportional to 495.07 and 1,014.82

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Solution

The third proportional to 495.07 and 1,014.82 is: 2,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.07 : 1,014.82 = 1,014.82 : x
  2. Step 2: Convert to fraction form
    495.07/1,014.82 = 1,014.82/x
  3. Step 3: Cross multiply
    495.07x = 1,014.82 × 1,014.82
  4. Step 4: Simplify right side
    495.07x = 1,029,860.27
  5. Step 5: Solve for x
    x = 1,029,860.27/495.07
  6. Step 6: Final answer
    x = 2,080.23

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.