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Finding the Third Proportional to 237,222 and 518,796

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Solution

The third proportional to 237,222 and 518,796 is: 1,134,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,222 : 518,796 = 518,796 : x
  2. Step 2: Convert to fraction form
    237,222/518,796 = 518,796/x
  3. Step 3: Cross multiply
    237,222x = 518,796 × 518,796
  4. Step 4: Simplify right side
    237,222x = 269,149,289,616
  5. Step 5: Solve for x
    x = 269,149,289,616/237,222
  6. Step 6: Final answer
    x = 1,134,588.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.