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Finding the Third Proportional to 270,816 and 378,605.25

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Solution

The third proportional to 270,816 and 378,605.25 is: 529,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,816 : 378,605.25 = 378,605.25 : x
  2. Step 2: Convert to fraction form
    270,816/378,605.25 = 378,605.25/x
  3. Step 3: Cross multiply
    270,816x = 378,605.25 × 378,605.25
  4. Step 4: Simplify right side
    270,816x = 143,341,935,327.56
  5. Step 5: Solve for x
    x = 143,341,935,327.56/270,816
  6. Step 6: Final answer
    x = 529,296.41

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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.