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Finding the Third Proportional to 367,223.78 and 561,381.97

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Solution

The third proportional to 367,223.78 and 561,381.97 is: 858,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,223.78 : 561,381.97 = 561,381.97 : x
  2. Step 2: Convert to fraction form
    367,223.78/561,381.97 = 561,381.97/x
  3. Step 3: Cross multiply
    367,223.78x = 561,381.97 × 561,381.97
  4. Step 4: Simplify right side
    367,223.78x = 315,149,715,934.08
  5. Step 5: Solve for x
    x = 315,149,715,934.08/367,223.78
  6. Step 6: Final answer
    x = 858,195.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.