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Finding the Third Proportional to 278,493.75 and 594,571.50

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Solution

The third proportional to 278,493.75 and 594,571.50 is: 1,269,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,493.75 : 594,571.50 = 594,571.50 : x
  2. Step 2: Convert to fraction form
    278,493.75/594,571.50 = 594,571.50/x
  3. Step 3: Cross multiply
    278,493.75x = 594,571.50 × 594,571.50
  4. Step 4: Simplify right side
    278,493.75x = 353,515,268,612.25
  5. Step 5: Solve for x
    x = 353,515,268,612.25/278,493.75
  6. Step 6: Final answer
    x = 1,269,383.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.