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Finding the Third Proportional to 275,334 and 387,736

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Solution

The third proportional to 275,334 and 387,736 is: 546,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,334 : 387,736 = 387,736 : x
  2. Step 2: Convert to fraction form
    275,334/387,736 = 387,736/x
  3. Step 3: Cross multiply
    275,334x = 387,736 × 387,736
  4. Step 4: Simplify right side
    275,334x = 150,339,205,696
  5. Step 5: Solve for x
    x = 150,339,205,696/275,334
  6. Step 6: Final answer
    x = 546,024.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.