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Finding the Third Proportional to 275,956 and 602,456

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Solution

The third proportional to 275,956 and 602,456 is: 1,315,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,956 : 602,456 = 602,456 : x
  2. Step 2: Convert to fraction form
    275,956/602,456 = 602,456/x
  3. Step 3: Cross multiply
    275,956x = 602,456 × 602,456
  4. Step 4: Simplify right side
    275,956x = 362,953,231,936
  5. Step 5: Solve for x
    x = 362,953,231,936/275,956
  6. Step 6: Final answer
    x = 1,315,257.62

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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.