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Finding the Third Proportional to 270,784.50 and 419,076.38

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Solution

The third proportional to 270,784.50 and 419,076.38 is: 648,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,784.50 : 419,076.38 = 419,076.38 : x
  2. Step 2: Convert to fraction form
    270,784.50/419,076.38 = 419,076.38/x
  3. Step 3: Cross multiply
    270,784.50x = 419,076.38 × 419,076.38
  4. Step 4: Simplify right side
    270,784.50x = 175,625,008,083.14
  5. Step 5: Solve for x
    x = 175,625,008,083.14/270,784.50
  6. Step 6: Final answer
    x = 648,578.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.