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Finding the Third Proportional to 443,376 and 664,152

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Solution

The third proportional to 443,376 and 664,152 is: 994,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,376 : 664,152 = 664,152 : x
  2. Step 2: Convert to fraction form
    443,376/664,152 = 664,152/x
  3. Step 3: Cross multiply
    443,376x = 664,152 × 664,152
  4. Step 4: Simplify right side
    443,376x = 441,097,879,104
  5. Step 5: Solve for x
    x = 441,097,879,104/443,376
  6. Step 6: Final answer
    x = 994,861.88

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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.