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Finding the Third Proportional to 231,628 and 503,108

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Solution

The third proportional to 231,628 and 503,108 is: 1,092,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,628 : 503,108 = 503,108 : x
  2. Step 2: Convert to fraction form
    231,628/503,108 = 503,108/x
  3. Step 3: Cross multiply
    231,628x = 503,108 × 503,108
  4. Step 4: Simplify right side
    231,628x = 253,117,659,664
  5. Step 5: Solve for x
    x = 253,117,659,664/231,628
  6. Step 6: Final answer
    x = 1,092,776.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.