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Finding the Third Proportional to 370,276 and 796,808

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Solution

The third proportional to 370,276 and 796,808 is: 1,714,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,276 : 796,808 = 796,808 : x
  2. Step 2: Convert to fraction form
    370,276/796,808 = 796,808/x
  3. Step 3: Cross multiply
    370,276x = 796,808 × 796,808
  4. Step 4: Simplify right side
    370,276x = 634,902,988,864
  5. Step 5: Solve for x
    x = 634,902,988,864/370,276
  6. Step 6: Final answer
    x = 1,714,674.97

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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.