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Finding the Third Proportional to 326,379.38 and 700,968.94

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Solution

The third proportional to 326,379.38 and 700,968.94 is: 1,505,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,379.38 : 700,968.94 = 700,968.94 : x
  2. Step 2: Convert to fraction form
    326,379.38/700,968.94 = 700,968.94/x
  3. Step 3: Cross multiply
    326,379.38x = 700,968.94 × 700,968.94
  4. Step 4: Simplify right side
    326,379.38x = 491,357,451,339.88
  5. Step 5: Solve for x
    x = 491,357,451,339.88/326,379.38
  6. Step 6: Final answer
    x = 1,505,479.48

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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.