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Finding the Third Proportional to 222,759 and 525,672

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Solution

The third proportional to 222,759 and 525,672 is: 1,240,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,759 : 525,672 = 525,672 : x
  2. Step 2: Convert to fraction form
    222,759/525,672 = 525,672/x
  3. Step 3: Cross multiply
    222,759x = 525,672 × 525,672
  4. Step 4: Simplify right side
    222,759x = 276,331,051,584
  5. Step 5: Solve for x
    x = 276,331,051,584/222,759
  6. Step 6: Final answer
    x = 1,240,493.32

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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.