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Finding the Third Proportional to 222,761 and 525,677

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Solution

The third proportional to 222,761 and 525,677 is: 1,240,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,761 : 525,677 = 525,677 : x
  2. Step 2: Convert to fraction form
    222,761/525,677 = 525,677/x
  3. Step 3: Cross multiply
    222,761x = 525,677 × 525,677
  4. Step 4: Simplify right side
    222,761x = 276,336,308,329
  5. Step 5: Solve for x
    x = 276,336,308,329/222,761
  6. Step 6: Final answer
    x = 1,240,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.