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Finding the Third Proportional to 327,732 and 448,524

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Solution

The third proportional to 327,732 and 448,524 is: 613,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,732 : 448,524 = 448,524 : x
  2. Step 2: Convert to fraction form
    327,732/448,524 = 448,524/x
  3. Step 3: Cross multiply
    327,732x = 448,524 × 448,524
  4. Step 4: Simplify right side
    327,732x = 201,173,778,576
  5. Step 5: Solve for x
    x = 201,173,778,576/327,732
  6. Step 6: Final answer
    x = 613,836.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.