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Finding the Third Proportional to 278,595 and 419,917.50

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Solution

The third proportional to 278,595 and 419,917.50 is: 632,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,595 : 419,917.50 = 419,917.50 : x
  2. Step 2: Convert to fraction form
    278,595/419,917.50 = 419,917.50/x
  3. Step 3: Cross multiply
    278,595x = 419,917.50 × 419,917.50
  4. Step 4: Simplify right side
    278,595x = 176,330,706,806.25
  5. Step 5: Solve for x
    x = 176,330,706,806.25/278,595
  6. Step 6: Final answer
    x = 632,928.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.