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Finding the Third Proportional to 505,668.94 and 1,086,379.31

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Solution

The third proportional to 505,668.94 and 1,086,379.31 is: 2,333,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668.94 : 1,086,379.31 = 1,086,379.31 : x
  2. Step 2: Convert to fraction form
    505,668.94/1,086,379.31 = 1,086,379.31/x
  3. Step 3: Cross multiply
    505,668.94x = 1,086,379.31 × 1,086,379.31
  4. Step 4: Simplify right side
    505,668.94x = 1,180,220,010,627.97
  5. Step 5: Solve for x
    x = 1,180,220,010,627.97/505,668.94
  6. Step 6: Final answer
    x = 2,333,977.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.