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Finding the Third Proportional to 369,940.50 and 796,027.50

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Solution

The third proportional to 369,940.50 and 796,027.50 is: 1,712,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,940.50 : 796,027.50 = 796,027.50 : x
  2. Step 2: Convert to fraction form
    369,940.50/796,027.50 = 796,027.50/x
  3. Step 3: Cross multiply
    369,940.50x = 796,027.50 × 796,027.50
  4. Step 4: Simplify right side
    369,940.50x = 633,659,780,756.25
  5. Step 5: Solve for x
    x = 633,659,780,756.25/369,940.50
  6. Step 6: Final answer
    x = 1,712,869.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.