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Finding the Third Proportional to 250,414.88 and 590,540.63

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Solution

The third proportional to 250,414.88 and 590,540.63 is: 1,392,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,414.88 : 590,540.63 = 590,540.63 : x
  2. Step 2: Convert to fraction form
    250,414.88/590,540.63 = 590,540.63/x
  3. Step 3: Cross multiply
    250,414.88x = 590,540.63 × 590,540.63
  4. Step 4: Simplify right side
    250,414.88x = 348,738,229,775.39
  5. Step 5: Solve for x
    x = 348,738,229,775.39/250,414.88
  6. Step 6: Final answer
    x = 1,392,641.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.