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Finding the Third Proportional to 409,597 and 641,149

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Solution

The third proportional to 409,597 and 641,149 is: 1,003,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,597 : 641,149 = 641,149 : x
  2. Step 2: Convert to fraction form
    409,597/641,149 = 641,149/x
  3. Step 3: Cross multiply
    409,597x = 641,149 × 641,149
  4. Step 4: Simplify right side
    409,597x = 411,072,040,201
  5. Step 5: Solve for x
    x = 411,072,040,201/409,597
  6. Step 6: Final answer
    x = 1,003,601.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.