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Finding the Third Proportional to 274,323.75 and 660,807

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Solution

The third proportional to 274,323.75 and 660,807 is: 1,591,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,323.75 : 660,807 = 660,807 : x
  2. Step 2: Convert to fraction form
    274,323.75/660,807 = 660,807/x
  3. Step 3: Cross multiply
    274,323.75x = 660,807 × 660,807
  4. Step 4: Simplify right side
    274,323.75x = 436,665,891,249
  5. Step 5: Solve for x
    x = 436,665,891,249/274,323.75
  6. Step 6: Final answer
    x = 1,591,790.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.