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Finding the Third Proportional to 237,920 and 382,512

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Solution

The third proportional to 237,920 and 382,512 is: 614,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 382,512 = 382,512 : x
  2. Step 2: Convert to fraction form
    237,920/382,512 = 382,512/x
  3. Step 3: Cross multiply
    237,920x = 382,512 × 382,512
  4. Step 4: Simplify right side
    237,920x = 146,315,430,144
  5. Step 5: Solve for x
    x = 146,315,430,144/237,920
  6. Step 6: Final answer
    x = 614,977.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.