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Finding the Third Proportional to 235,836 and 523,917

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Solution

The third proportional to 235,836 and 523,917 is: 1,163,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836 : 523,917 = 523,917 : x
  2. Step 2: Convert to fraction form
    235,836/523,917 = 523,917/x
  3. Step 3: Cross multiply
    235,836x = 523,917 × 523,917
  4. Step 4: Simplify right side
    235,836x = 274,489,022,889
  5. Step 5: Solve for x
    x = 274,489,022,889/235,836
  6. Step 6: Final answer
    x = 1,163,897.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.