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Finding the Third Proportional to 365,328 and 800,496

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Solution

The third proportional to 365,328 and 800,496 is: 1,754,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,328 : 800,496 = 800,496 : x
  2. Step 2: Convert to fraction form
    365,328/800,496 = 800,496/x
  3. Step 3: Cross multiply
    365,328x = 800,496 × 800,496
  4. Step 4: Simplify right side
    365,328x = 640,793,846,016
  5. Step 5: Solve for x
    x = 640,793,846,016/365,328
  6. Step 6: Final answer
    x = 1,754,023.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.