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Finding the Third Proportional to 326,744 and 443,448

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Solution

The third proportional to 326,744 and 443,448 is: 601,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,744 : 443,448 = 443,448 : x
  2. Step 2: Convert to fraction form
    326,744/443,448 = 443,448/x
  3. Step 3: Cross multiply
    326,744x = 443,448 × 443,448
  4. Step 4: Simplify right side
    326,744x = 196,646,128,704
  5. Step 5: Solve for x
    x = 196,646,128,704/326,744
  6. Step 6: Final answer
    x = 601,835.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.