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Finding the Third Proportional to 250,783.59 and 541,540.69

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Solution

The third proportional to 250,783.59 and 541,540.69 is: 1,169,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,783.59 : 541,540.69 = 541,540.69 : x
  2. Step 2: Convert to fraction form
    250,783.59/541,540.69 = 541,540.69/x
  3. Step 3: Cross multiply
    250,783.59x = 541,540.69 × 541,540.69
  4. Step 4: Simplify right side
    250,783.59x = 293,266,316,217.97
  5. Step 5: Solve for x
    x = 293,266,316,217.97/250,783.59
  6. Step 6: Final answer
    x = 1,169,399.93

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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.