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Finding the Third Proportional to 250,418.81 and 590,542.88

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Solution

The third proportional to 250,418.81 and 590,542.88 is: 1,392,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,418.81 : 590,542.88 = 590,542.88 : x
  2. Step 2: Convert to fraction form
    250,418.81/590,542.88 = 590,542.88/x
  3. Step 3: Cross multiply
    250,418.81x = 590,542.88 × 590,542.88
  4. Step 4: Simplify right side
    250,418.81x = 348,740,887,213.27
  5. Step 5: Solve for x
    x = 348,740,887,213.27/250,418.81
  6. Step 6: Final answer
    x = 1,392,630.54

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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.