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Finding the Third Proportional to 253,732 and 552,668

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Solution

The third proportional to 253,732 and 552,668 is: 1,203,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,732 : 552,668 = 552,668 : x
  2. Step 2: Convert to fraction form
    253,732/552,668 = 552,668/x
  3. Step 3: Cross multiply
    253,732x = 552,668 × 552,668
  4. Step 4: Simplify right side
    253,732x = 305,441,918,224
  5. Step 5: Solve for x
    x = 305,441,918,224/253,732
  6. Step 6: Final answer
    x = 1,203,797.39

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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.