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Finding the Third Proportional to 264,836 and 397,846

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Solution

The third proportional to 264,836 and 397,846 is: 597,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,836 : 397,846 = 397,846 : x
  2. Step 2: Convert to fraction form
    264,836/397,846 = 397,846/x
  3. Step 3: Cross multiply
    264,836x = 397,846 × 397,846
  4. Step 4: Simplify right side
    264,836x = 158,281,439,716
  5. Step 5: Solve for x
    x = 158,281,439,716/264,836
  6. Step 6: Final answer
    x = 597,658.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.