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Finding the Third Proportional to 250,927 and 552,398

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Solution

The third proportional to 250,927 and 552,398 is: 1,216,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,927 : 552,398 = 552,398 : x
  2. Step 2: Convert to fraction form
    250,927/552,398 = 552,398/x
  3. Step 3: Cross multiply
    250,927x = 552,398 × 552,398
  4. Step 4: Simplify right side
    250,927x = 305,143,550,404
  5. Step 5: Solve for x
    x = 305,143,550,404/250,927
  6. Step 6: Final answer
    x = 1,216,065.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.