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Finding the Third Proportional to 274,972 and 576,225

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Solution

The third proportional to 274,972 and 576,225 is: 1,207,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,972 : 576,225 = 576,225 : x
  2. Step 2: Convert to fraction form
    274,972/576,225 = 576,225/x
  3. Step 3: Cross multiply
    274,972x = 576,225 × 576,225
  4. Step 4: Simplify right side
    274,972x = 332,035,250,625
  5. Step 5: Solve for x
    x = 332,035,250,625/274,972
  6. Step 6: Final answer
    x = 1,207,523.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.