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Finding the Third Proportional to 236,309.63 and 518,542.88

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Solution

The third proportional to 236,309.63 and 518,542.88 is: 1,137,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,309.63 : 518,542.88 = 518,542.88 : x
  2. Step 2: Convert to fraction form
    236,309.63/518,542.88 = 518,542.88/x
  3. Step 3: Cross multiply
    236,309.63x = 518,542.88 × 518,542.88
  4. Step 4: Simplify right side
    236,309.63x = 268,886,713,213.27
  5. Step 5: Solve for x
    x = 268,886,713,213.27/236,309.63
  6. Step 6: Final answer
    x = 1,137,857.64

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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.