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Finding the Third Proportional to 448,216.50 and 664,305

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Solution

The third proportional to 448,216.50 and 664,305 is: 984,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,216.50 : 664,305 = 664,305 : x
  2. Step 2: Convert to fraction form
    448,216.50/664,305 = 664,305/x
  3. Step 3: Cross multiply
    448,216.50x = 664,305 × 664,305
  4. Step 4: Simplify right side
    448,216.50x = 441,301,133,025
  5. Step 5: Solve for x
    x = 441,301,133,025/448,216.50
  6. Step 6: Final answer
    x = 984,571.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.