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Finding the Third Proportional to 366,158 and 793,214

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Solution

The third proportional to 366,158 and 793,214 is: 1,718,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,158 : 793,214 = 793,214 : x
  2. Step 2: Convert to fraction form
    366,158/793,214 = 793,214/x
  3. Step 3: Cross multiply
    366,158x = 793,214 × 793,214
  4. Step 4: Simplify right side
    366,158x = 629,188,449,796
  5. Step 5: Solve for x
    x = 629,188,449,796/366,158
  6. Step 6: Final answer
    x = 1,718,352.32

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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.