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Finding the Third Proportional to 297,961,609.50 and 641,461,041

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Solution

The third proportional to 297,961,609.50 and 641,461,041 is: 1,380,957,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961,609.50 : 641,461,041 = 641,461,041 : x
  2. Step 2: Convert to fraction form
    297,961,609.50/641,461,041 = 641,461,041/x
  3. Step 3: Cross multiply
    297,961,609.50x = 641,461,041 × 641,461,041
  4. Step 4: Simplify right side
    297,961,609.50x = 411,472,267,120,803,712
  5. Step 5: Solve for x
    x = 411,472,267,120,803,712/297,961,609.50
  6. Step 6: Final answer
    x = 1,380,957,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.