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Finding the Third Proportional to 326,823 and 445,563.75

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Solution

The third proportional to 326,823 and 445,563.75 is: 607,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,823 : 445,563.75 = 445,563.75 : x
  2. Step 2: Convert to fraction form
    326,823/445,563.75 = 445,563.75/x
  3. Step 3: Cross multiply
    326,823x = 445,563.75 × 445,563.75
  4. Step 4: Simplify right side
    326,823x = 198,527,055,314.06
  5. Step 5: Solve for x
    x = 198,527,055,314.06/326,823
  6. Step 6: Final answer
    x = 607,445.18

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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.