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Finding the Third Proportional to 295,108 and 633,227

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Solution

The third proportional to 295,108 and 633,227 is: 1,358,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,108 : 633,227 = 633,227 : x
  2. Step 2: Convert to fraction form
    295,108/633,227 = 633,227/x
  3. Step 3: Cross multiply
    295,108x = 633,227 × 633,227
  4. Step 4: Simplify right side
    295,108x = 400,976,433,529
  5. Step 5: Solve for x
    x = 400,976,433,529/295,108
  6. Step 6: Final answer
    x = 1,358,744.71

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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.