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Finding the Third Proportional to 237,996 and 518,616

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Solution

The third proportional to 237,996 and 518,616 is: 1,130,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,996 : 518,616 = 518,616 : x
  2. Step 2: Convert to fraction form
    237,996/518,616 = 518,616/x
  3. Step 3: Cross multiply
    237,996x = 518,616 × 518,616
  4. Step 4: Simplify right side
    237,996x = 268,962,555,456
  5. Step 5: Solve for x
    x = 268,962,555,456/237,996
  6. Step 6: Final answer
    x = 1,130,113.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.