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Finding the Third Proportional to 326,244 and 483,302

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Solution

The third proportional to 326,244 and 483,302 is: 715,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,244 : 483,302 = 483,302 : x
  2. Step 2: Convert to fraction form
    326,244/483,302 = 483,302/x
  3. Step 3: Cross multiply
    326,244x = 483,302 × 483,302
  4. Step 4: Simplify right side
    326,244x = 233,580,823,204
  5. Step 5: Solve for x
    x = 233,580,823,204/326,244
  6. Step 6: Final answer
    x = 715,969.71

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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.