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Finding the Third Proportional to 326,016 and 485,568

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Solution

The third proportional to 326,016 and 485,568 is: 723,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016 : 485,568 = 485,568 : x
  2. Step 2: Convert to fraction form
    326,016/485,568 = 485,568/x
  3. Step 3: Cross multiply
    326,016x = 485,568 × 485,568
  4. Step 4: Simplify right side
    326,016x = 235,776,282,624
  5. Step 5: Solve for x
    x = 235,776,282,624/326,016
  6. Step 6: Final answer
    x = 723,204.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.