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Finding the Third Proportional to 361,096 and 792,208

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Solution

The third proportional to 361,096 and 792,208 is: 1,738,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,096 : 792,208 = 792,208 : x
  2. Step 2: Convert to fraction form
    361,096/792,208 = 792,208/x
  3. Step 3: Cross multiply
    361,096x = 792,208 × 792,208
  4. Step 4: Simplify right side
    361,096x = 627,593,515,264
  5. Step 5: Solve for x
    x = 627,593,515,264/361,096
  6. Step 6: Final answer
    x = 1,738,024.00

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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.