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Finding the Third Proportional to 236,268 and 518,463

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Solution

The third proportional to 236,268 and 518,463 is: 1,137,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,268 : 518,463 = 518,463 : x
  2. Step 2: Convert to fraction form
    236,268/518,463 = 518,463/x
  3. Step 3: Cross multiply
    236,268x = 518,463 × 518,463
  4. Step 4: Simplify right side
    236,268x = 268,803,882,369
  5. Step 5: Solve for x
    x = 268,803,882,369/236,268
  6. Step 6: Final answer
    x = 1,137,707.53

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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.