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Finding the Third Proportional to 326,647.69 and 703,358.44

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Solution

The third proportional to 326,647.69 and 703,358.44 is: 1,514,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,647.69 : 703,358.44 = 703,358.44 : x
  2. Step 2: Convert to fraction form
    326,647.69/703,358.44 = 703,358.44/x
  3. Step 3: Cross multiply
    326,647.69x = 703,358.44 × 703,358.44
  4. Step 4: Simplify right side
    326,647.69x = 494,713,091,602.44
  5. Step 5: Solve for x
    x = 494,713,091,602.44/326,647.69
  6. Step 6: Final answer
    x = 1,514,515.82

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