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Finding the Third Proportional to 269,846 and 389,847

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Solution

The third proportional to 269,846 and 389,847 is: 563,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,846 : 389,847 = 389,847 : x
  2. Step 2: Convert to fraction form
    269,846/389,847 = 389,847/x
  3. Step 3: Cross multiply
    269,846x = 389,847 × 389,847
  4. Step 4: Simplify right side
    269,846x = 151,980,683,409
  5. Step 5: Solve for x
    x = 151,980,683,409/269,846
  6. Step 6: Final answer
    x = 563,212.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.