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Finding the Third Proportional to 270,795.66 and 378,571.22

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Solution

The third proportional to 270,795.66 and 378,571.22 is: 529,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,795.66 : 378,571.22 = 378,571.22 : x
  2. Step 2: Convert to fraction form
    270,795.66/378,571.22 = 378,571.22/x
  3. Step 3: Cross multiply
    270,795.66x = 378,571.22 × 378,571.22
  4. Step 4: Simplify right side
    270,795.66x = 143,316,167,665.86
  5. Step 5: Solve for x
    x = 143,316,167,665.86/270,795.66
  6. Step 6: Final answer
    x = 529,241.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.