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Finding the Third Proportional to 315,606 and 443,921

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Solution

The third proportional to 315,606 and 443,921 is: 624,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,606 : 443,921 = 443,921 : x
  2. Step 2: Convert to fraction form
    315,606/443,921 = 443,921/x
  3. Step 3: Cross multiply
    315,606x = 443,921 × 443,921
  4. Step 4: Simplify right side
    315,606x = 197,065,854,241
  5. Step 5: Solve for x
    x = 197,065,854,241/315,606
  6. Step 6: Final answer
    x = 624,404.65

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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.