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Finding the Third Proportional to 362,232 and 796,176

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Solution

The third proportional to 362,232 and 796,176 is: 1,749,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,232 : 796,176 = 796,176 : x
  2. Step 2: Convert to fraction form
    362,232/796,176 = 796,176/x
  3. Step 3: Cross multiply
    362,232x = 796,176 × 796,176
  4. Step 4: Simplify right side
    362,232x = 633,896,222,976
  5. Step 5: Solve for x
    x = 633,896,222,976/362,232
  6. Step 6: Final answer
    x = 1,749,973.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.