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Finding the Third Proportional to 231,706 and 505,988

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Solution

The third proportional to 231,706 and 505,988 is: 1,104,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,706 : 505,988 = 505,988 : x
  2. Step 2: Convert to fraction form
    231,706/505,988 = 505,988/x
  3. Step 3: Cross multiply
    231,706x = 505,988 × 505,988
  4. Step 4: Simplify right side
    231,706x = 256,023,856,144
  5. Step 5: Solve for x
    x = 256,023,856,144/231,706
  6. Step 6: Final answer
    x = 1,104,951.34

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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.