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Finding the Third Proportional to 270,610.88 and 587,323.41

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Solution

The third proportional to 270,610.88 and 587,323.41 is: 1,274,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,610.88 : 587,323.41 = 587,323.41 : x
  2. Step 2: Convert to fraction form
    270,610.88/587,323.41 = 587,323.41/x
  3. Step 3: Cross multiply
    270,610.88x = 587,323.41 × 587,323.41
  4. Step 4: Simplify right side
    270,610.88x = 344,948,783,529.10
  5. Step 5: Solve for x
    x = 344,948,783,529.10/270,610.88
  6. Step 6: Final answer
    x = 1,274,704.07

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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.