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Finding the Third Proportional to 236,461 and 518,909

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Solution

The third proportional to 236,461 and 518,909 is: 1,138,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,461 : 518,909 = 518,909 : x
  2. Step 2: Convert to fraction form
    236,461/518,909 = 518,909/x
  3. Step 3: Cross multiply
    236,461x = 518,909 × 518,909
  4. Step 4: Simplify right side
    236,461x = 269,266,550,281
  5. Step 5: Solve for x
    x = 269,266,550,281/236,461
  6. Step 6: Final answer
    x = 1,138,735.56

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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.