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Finding the Third Proportional to 236,888.44 and 518,063.06

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Solution

The third proportional to 236,888.44 and 518,063.06 is: 1,132,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,888.44 : 518,063.06 = 518,063.06 : x
  2. Step 2: Convert to fraction form
    236,888.44/518,063.06 = 518,063.06/x
  3. Step 3: Cross multiply
    236,888.44x = 518,063.06 × 518,063.06
  4. Step 4: Simplify right side
    236,888.44x = 268,389,336,726.88
  5. Step 5: Solve for x
    x = 268,389,336,726.88/236,888.44
  6. Step 6: Final answer
    x = 1,132,977.78

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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.