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Finding the Third Proportional to 275,252 and 402,256

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Solution

The third proportional to 275,252 and 402,256 is: 587,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,252 : 402,256 = 402,256 : x
  2. Step 2: Convert to fraction form
    275,252/402,256 = 402,256/x
  3. Step 3: Cross multiply
    275,252x = 402,256 × 402,256
  4. Step 4: Simplify right side
    275,252x = 161,809,889,536
  5. Step 5: Solve for x
    x = 161,809,889,536/275,252
  6. Step 6: Final answer
    x = 587,860.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.