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Finding the Third Proportional to 496.63 and 1,016.13

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Solution

The third proportional to 496.63 and 1,016.13 is: 2,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 1,016.13 = 1,016.13 : x
  2. Step 2: Convert to fraction form
    496.63/1,016.13 = 1,016.13/x
  3. Step 3: Cross multiply
    496.63x = 1,016.13 × 1,016.13
  4. Step 4: Simplify right side
    496.63x = 1,032,510.02
  5. Step 5: Solve for x
    x = 1,032,510.02/496.63
  6. Step 6: Final answer
    x = 2,079.05

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Why These Related Problems?

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