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Finding the Third Proportional to 373,162 and 805,268

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Solution

The third proportional to 373,162 and 805,268 is: 1,737,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,162 : 805,268 = 805,268 : x
  2. Step 2: Convert to fraction form
    373,162/805,268 = 805,268/x
  3. Step 3: Cross multiply
    373,162x = 805,268 × 805,268
  4. Step 4: Simplify right side
    373,162x = 648,456,551,824
  5. Step 5: Solve for x
    x = 648,456,551,824/373,162
  6. Step 6: Final answer
    x = 1,737,734.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.