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Finding the Third Proportional to 479.81 and 1,036.69

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Solution

The third proportional to 479.81 and 1,036.69 is: 2,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 1,036.69 = 1,036.69 : x
  2. Step 2: Convert to fraction form
    479.81/1,036.69 = 1,036.69/x
  3. Step 3: Cross multiply
    479.81x = 1,036.69 × 1,036.69
  4. Step 4: Simplify right side
    479.81x = 1,074,720.97
  5. Step 5: Solve for x
    x = 1,074,720.97/479.81
  6. Step 6: Final answer
    x = 2,239.88

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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.