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Finding the Third Proportional to 383,005.97 and 825,093.84

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Solution

The third proportional to 383,005.97 and 825,093.84 is: 1,777,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,005.97 : 825,093.84 = 825,093.84 : x
  2. Step 2: Convert to fraction form
    383,005.97/825,093.84 = 825,093.84/x
  3. Step 3: Cross multiply
    383,005.97x = 825,093.84 × 825,093.84
  4. Step 4: Simplify right side
    383,005.97x = 680,779,850,994.15
  5. Step 5: Solve for x
    x = 680,779,850,994.15/383,005.97
  6. Step 6: Final answer
    x = 1,777,465.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.