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Finding the Third Proportional to 370,292 and 796,836

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Solution

The third proportional to 370,292 and 796,836 is: 1,714,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,292 : 796,836 = 796,836 : x
  2. Step 2: Convert to fraction form
    370,292/796,836 = 796,836/x
  3. Step 3: Cross multiply
    370,292x = 796,836 × 796,836
  4. Step 4: Simplify right side
    370,292x = 634,947,610,896
  5. Step 5: Solve for x
    x = 634,947,610,896/370,292
  6. Step 6: Final answer
    x = 1,714,721.38

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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.