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Finding the Third Proportional to 236,346.75 and 505,917

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Solution

The third proportional to 236,346.75 and 505,917 is: 1,082,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,346.75 : 505,917 = 505,917 : x
  2. Step 2: Convert to fraction form
    236,346.75/505,917 = 505,917/x
  3. Step 3: Cross multiply
    236,346.75x = 505,917 × 505,917
  4. Step 4: Simplify right side
    236,346.75x = 255,952,010,889
  5. Step 5: Solve for x
    x = 255,952,010,889/236,346.75
  6. Step 6: Final answer
    x = 1,082,951.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.