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Finding the Third Proportional to 270,601.50 and 587,315.25

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Solution

The third proportional to 270,601.50 and 587,315.25 is: 1,274,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,601.50 : 587,315.25 = 587,315.25 : x
  2. Step 2: Convert to fraction form
    270,601.50/587,315.25 = 587,315.25/x
  3. Step 3: Cross multiply
    270,601.50x = 587,315.25 × 587,315.25
  4. Step 4: Simplify right side
    270,601.50x = 344,939,202,882.56
  5. Step 5: Solve for x
    x = 344,939,202,882.56/270,601.50
  6. Step 6: Final answer
    x = 1,274,712.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.