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Finding the Third Proportional to 319,069.50 and 493,989.75

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Solution

The third proportional to 319,069.50 and 493,989.75 is: 764,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,069.50 : 493,989.75 = 493,989.75 : x
  2. Step 2: Convert to fraction form
    319,069.50/493,989.75 = 493,989.75/x
  3. Step 3: Cross multiply
    319,069.50x = 493,989.75 × 493,989.75
  4. Step 4: Simplify right side
    319,069.50x = 244,025,873,105.06
  5. Step 5: Solve for x
    x = 244,025,873,105.06/319,069.50
  6. Step 6: Final answer
    x = 764,804.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.