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Finding the Third Proportional to 362,279 and 796,270

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Solution

The third proportional to 362,279 and 796,270 is: 1,750,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,279 : 796,270 = 796,270 : x
  2. Step 2: Convert to fraction form
    362,279/796,270 = 796,270/x
  3. Step 3: Cross multiply
    362,279x = 796,270 × 796,270
  4. Step 4: Simplify right side
    362,279x = 634,045,912,900
  5. Step 5: Solve for x
    x = 634,045,912,900/362,279
  6. Step 6: Final answer
    x = 1,750,159.17

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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.