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Finding the Third Proportional to 441,785.81 and 675,519.75

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Solution

The third proportional to 441,785.81 and 675,519.75 is: 1,032,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,785.81 : 675,519.75 = 675,519.75 : x
  2. Step 2: Convert to fraction form
    441,785.81/675,519.75 = 675,519.75/x
  3. Step 3: Cross multiply
    441,785.81x = 675,519.75 × 675,519.75
  4. Step 4: Simplify right side
    441,785.81x = 456,326,932,640.06
  5. Step 5: Solve for x
    x = 456,326,932,640.06/441,785.81
  6. Step 6: Final answer
    x = 1,032,914.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.