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Finding the Third Proportional to 695,825.25 and 979,855.50

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Solution

The third proportional to 695,825.25 and 979,855.50 is: 1,379,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,825.25 : 979,855.50 = 979,855.50 : x
  2. Step 2: Convert to fraction form
    695,825.25/979,855.50 = 979,855.50/x
  3. Step 3: Cross multiply
    695,825.25x = 979,855.50 × 979,855.50
  4. Step 4: Simplify right side
    695,825.25x = 960,116,800,880.25
  5. Step 5: Solve for x
    x = 960,116,800,880.25/695,825.25
  6. Step 6: Final answer
    x = 1,379,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.