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Finding the Third Proportional to 315,591 and 443,901

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Solution

The third proportional to 315,591 and 443,901 is: 624,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,591 : 443,901 = 443,901 : x
  2. Step 2: Convert to fraction form
    315,591/443,901 = 443,901/x
  3. Step 3: Cross multiply
    315,591x = 443,901 × 443,901
  4. Step 4: Simplify right side
    315,591x = 197,048,097,801
  5. Step 5: Solve for x
    x = 197,048,097,801/315,591
  6. Step 6: Final answer
    x = 624,378.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.