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Finding the Third Proportional to 251,290.69 and 541,944.84

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Solution

The third proportional to 251,290.69 and 541,944.84 is: 1,168,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,290.69 : 541,944.84 = 541,944.84 : x
  2. Step 2: Convert to fraction form
    251,290.69/541,944.84 = 541,944.84/x
  3. Step 3: Cross multiply
    251,290.69x = 541,944.84 × 541,944.84
  4. Step 4: Simplify right side
    251,290.69x = 293,704,213,667.21
  5. Step 5: Solve for x
    x = 293,704,213,667.21/251,290.69
  6. Step 6: Final answer
    x = 1,168,782.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.