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Finding the Third Proportional to 480.66 and 1,036.27

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Solution

The third proportional to 480.66 and 1,036.27 is: 2,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.66 : 1,036.27 = 1,036.27 : x
  2. Step 2: Convert to fraction form
    480.66/1,036.27 = 1,036.27/x
  3. Step 3: Cross multiply
    480.66x = 1,036.27 × 1,036.27
  4. Step 4: Simplify right side
    480.66x = 1,073,846.45
  5. Step 5: Solve for x
    x = 1,073,846.45/480.66
  6. Step 6: Final answer
    x = 2,234.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.