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Finding the Third Proportional to 231,632 and 503,116

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Solution

The third proportional to 231,632 and 503,116 is: 1,092,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632 : 503,116 = 503,116 : x
  2. Step 2: Convert to fraction form
    231,632/503,116 = 503,116/x
  3. Step 3: Cross multiply
    231,632x = 503,116 × 503,116
  4. Step 4: Simplify right side
    231,632x = 253,125,709,456
  5. Step 5: Solve for x
    x = 253,125,709,456/231,632
  6. Step 6: Final answer
    x = 1,092,792.49

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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.