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Finding the Third Proportional to 441,910.69 and 675,703.27

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Solution

The third proportional to 441,910.69 and 675,703.27 is: 1,033,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,910.69 : 675,703.27 = 675,703.27 : x
  2. Step 2: Convert to fraction form
    441,910.69/675,703.27 = 675,703.27/x
  3. Step 3: Cross multiply
    441,910.69x = 675,703.27 × 675,703.27
  4. Step 4: Simplify right side
    441,910.69x = 456,574,903,176.29
  5. Step 5: Solve for x
    x = 456,574,903,176.29/441,910.69
  6. Step 6: Final answer
    x = 1,033,183.66

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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.