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Finding the Third Proportional to 315,596 and 443,906

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Solution

The third proportional to 315,596 and 443,906 is: 624,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,596 : 443,906 = 443,906 : x
  2. Step 2: Convert to fraction form
    315,596/443,906 = 443,906/x
  3. Step 3: Cross multiply
    315,596x = 443,906 × 443,906
  4. Step 4: Simplify right side
    315,596x = 197,052,536,836
  5. Step 5: Solve for x
    x = 197,052,536,836/315,596
  6. Step 6: Final answer
    x = 624,382.24

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Why These Related Problems?

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