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Finding the Third Proportional to 275,557.50 and 605,322

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Solution

The third proportional to 275,557.50 and 605,322 is: 1,329,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,557.50 : 605,322 = 605,322 : x
  2. Step 2: Convert to fraction form
    275,557.50/605,322 = 605,322/x
  3. Step 3: Cross multiply
    275,557.50x = 605,322 × 605,322
  4. Step 4: Simplify right side
    275,557.50x = 366,414,723,684
  5. Step 5: Solve for x
    x = 366,414,723,684/275,557.50
  6. Step 6: Final answer
    x = 1,329,721.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.