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Finding the Third Proportional to 364,380 and 800,496

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Solution

The third proportional to 364,380 and 800,496 is: 1,758,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,380 : 800,496 = 800,496 : x
  2. Step 2: Convert to fraction form
    364,380/800,496 = 800,496/x
  3. Step 3: Cross multiply
    364,380x = 800,496 × 800,496
  4. Step 4: Simplify right side
    364,380x = 640,793,846,016
  5. Step 5: Solve for x
    x = 640,793,846,016/364,380
  6. Step 6: Final answer
    x = 1,758,586.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.