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Finding the Third Proportional to 231,626 and 503,860

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Solution

The third proportional to 231,626 and 503,860 is: 1,096,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,626 : 503,860 = 503,860 : x
  2. Step 2: Convert to fraction form
    231,626/503,860 = 503,860/x
  3. Step 3: Cross multiply
    231,626x = 503,860 × 503,860
  4. Step 4: Simplify right side
    231,626x = 253,874,899,600
  5. Step 5: Solve for x
    x = 253,874,899,600/231,626
  6. Step 6: Final answer
    x = 1,096,055.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.