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Finding the Third Proportional to 275,493.25 and 417,398.75

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Solution

The third proportional to 275,493.25 and 417,398.75 is: 632,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,493.25 : 417,398.75 = 417,398.75 : x
  2. Step 2: Convert to fraction form
    275,493.25/417,398.75 = 417,398.75/x
  3. Step 3: Cross multiply
    275,493.25x = 417,398.75 × 417,398.75
  4. Step 4: Simplify right side
    275,493.25x = 174,221,716,501.56
  5. Step 5: Solve for x
    x = 174,221,716,501.56/275,493.25
  6. Step 6: Final answer
    x = 632,399.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.