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Finding the Third Proportional to 307,039.50 and 664,015.50

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Solution

The third proportional to 307,039.50 and 664,015.50 is: 1,436,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,039.50 : 664,015.50 = 664,015.50 : x
  2. Step 2: Convert to fraction form
    307,039.50/664,015.50 = 664,015.50/x
  3. Step 3: Cross multiply
    307,039.50x = 664,015.50 × 664,015.50
  4. Step 4: Simplify right side
    307,039.50x = 440,916,584,240.25
  5. Step 5: Solve for x
    x = 440,916,584,240.25/307,039.50
  6. Step 6: Final answer
    x = 1,436,025.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.