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Finding the Third Proportional to 370,274 and 796,804

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Solution

The third proportional to 370,274 and 796,804 is: 1,714,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,274 : 796,804 = 796,804 : x
  2. Step 2: Convert to fraction form
    370,274/796,804 = 796,804/x
  3. Step 3: Cross multiply
    370,274x = 796,804 × 796,804
  4. Step 4: Simplify right side
    370,274x = 634,896,614,416
  5. Step 5: Solve for x
    x = 634,896,614,416/370,274
  6. Step 6: Final answer
    x = 1,714,667.02

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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.