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Finding the Third Proportional to 360,408.94 and 792,762.19

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Solution

The third proportional to 360,408.94 and 792,762.19 is: 1,743,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,408.94 : 792,762.19 = 792,762.19 : x
  2. Step 2: Convert to fraction form
    360,408.94/792,762.19 = 792,762.19/x
  3. Step 3: Cross multiply
    360,408.94x = 792,762.19 × 792,762.19
  4. Step 4: Simplify right side
    360,408.94x = 628,471,885,929.79
  5. Step 5: Solve for x
    x = 628,471,885,929.79/360,408.94
  6. Step 6: Final answer
    x = 1,743,774.42

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Why These Related Problems?

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