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Finding the Third Proportional to 315,626 and 443,952

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Solution

The third proportional to 315,626 and 443,952 is: 624,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,626 : 443,952 = 443,952 : x
  2. Step 2: Convert to fraction form
    315,626/443,952 = 443,952/x
  3. Step 3: Cross multiply
    315,626x = 443,952 × 443,952
  4. Step 4: Simplify right side
    315,626x = 197,093,378,304
  5. Step 5: Solve for x
    x = 197,093,378,304/315,626
  6. Step 6: Final answer
    x = 624,452.29

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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.