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Finding the Third Proportional to 256,488 and 550,848

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Solution

The third proportional to 256,488 and 550,848 is: 1,183,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,488 : 550,848 = 550,848 : x
  2. Step 2: Convert to fraction form
    256,488/550,848 = 550,848/x
  3. Step 3: Cross multiply
    256,488x = 550,848 × 550,848
  4. Step 4: Simplify right side
    256,488x = 303,433,519,104
  5. Step 5: Solve for x
    x = 303,433,519,104/256,488
  6. Step 6: Final answer
    x = 1,183,032.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.