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Finding the Third Proportional to 412,899 and 603,414.75

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Solution

The third proportional to 412,899 and 603,414.75 is: 881,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,899 : 603,414.75 = 603,414.75 : x
  2. Step 2: Convert to fraction form
    412,899/603,414.75 = 603,414.75/x
  3. Step 3: Cross multiply
    412,899x = 603,414.75 × 603,414.75
  4. Step 4: Simplify right side
    412,899x = 364,109,360,517.56
  5. Step 5: Solve for x
    x = 364,109,360,517.56/412,899
  6. Step 6: Final answer
    x = 881,836.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.