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Finding the Third Proportional to 370,041 and 796,215

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Solution

The third proportional to 370,041 and 796,215 is: 1,713,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,041 : 796,215 = 796,215 : x
  2. Step 2: Convert to fraction form
    370,041/796,215 = 796,215/x
  3. Step 3: Cross multiply
    370,041x = 796,215 × 796,215
  4. Step 4: Simplify right side
    370,041x = 633,958,326,225
  5. Step 5: Solve for x
    x = 633,958,326,225/370,041
  6. Step 6: Final answer
    x = 1,713,211.04

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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.