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Finding the Third Proportional to 269,221 and 416,811

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Solution

The third proportional to 269,221 and 416,811 is: 645,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,221 : 416,811 = 416,811 : x
  2. Step 2: Convert to fraction form
    269,221/416,811 = 416,811/x
  3. Step 3: Cross multiply
    269,221x = 416,811 × 416,811
  4. Step 4: Simplify right side
    269,221x = 173,731,409,721
  5. Step 5: Solve for x
    x = 173,731,409,721/269,221
  6. Step 6: Final answer
    x = 645,311.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.