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Finding the Third Proportional to 268,936.88 and 579,367.69

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Solution

The third proportional to 268,936.88 and 579,367.69 is: 1,248,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,936.88 : 579,367.69 = 579,367.69 : x
  2. Step 2: Convert to fraction form
    268,936.88/579,367.69 = 579,367.69/x
  3. Step 3: Cross multiply
    268,936.88x = 579,367.69 × 579,367.69
  4. Step 4: Simplify right side
    268,936.88x = 335,666,917,319.10
  5. Step 5: Solve for x
    x = 335,666,917,319.10/268,936.88
  6. Step 6: Final answer
    x = 1,248,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.