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Finding the Third Proportional to 370,102 and 796,336

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Solution

The third proportional to 370,102 and 796,336 is: 1,713,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,102 : 796,336 = 796,336 : x
  2. Step 2: Convert to fraction form
    370,102/796,336 = 796,336/x
  3. Step 3: Cross multiply
    370,102x = 796,336 × 796,336
  4. Step 4: Simplify right side
    370,102x = 634,151,024,896
  5. Step 5: Solve for x
    x = 634,151,024,896/370,102
  6. Step 6: Final answer
    x = 1,713,449.33

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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.