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Finding the Third Proportional to 326,295,450 and 517,524,849

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Solution

The third proportional to 326,295,450 and 517,524,849 is: 820,826,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,295,450 : 517,524,849 = 517,524,849 : x
  2. Step 2: Convert to fraction form
    326,295,450/517,524,849 = 517,524,849/x
  3. Step 3: Cross multiply
    326,295,450x = 517,524,849 × 517,524,849
  4. Step 4: Simplify right side
    326,295,450x = 267,831,969,332,472,800
  5. Step 5: Solve for x
    x = 267,831,969,332,472,800/326,295,450
  6. Step 6: Final answer
    x = 820,826,552.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.