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Finding the Third Proportional to 386,367.47 and 839,235.94

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Solution

The third proportional to 386,367.47 and 839,235.94 is: 1,822,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,367.47 : 839,235.94 = 839,235.94 : x
  2. Step 2: Convert to fraction form
    386,367.47/839,235.94 = 839,235.94/x
  3. Step 3: Cross multiply
    386,367.47x = 839,235.94 × 839,235.94
  4. Step 4: Simplify right side
    386,367.47x = 704,316,958,791.50
  5. Step 5: Solve for x
    x = 704,316,958,791.50/386,367.47
  6. Step 6: Final answer
    x = 1,822,919.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.