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Finding the Third Proportional to 281,508 and 436,546

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Solution

The third proportional to 281,508 and 436,546 is: 676,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,508 : 436,546 = 436,546 : x
  2. Step 2: Convert to fraction form
    281,508/436,546 = 436,546/x
  3. Step 3: Cross multiply
    281,508x = 436,546 × 436,546
  4. Step 4: Simplify right side
    281,508x = 190,572,410,116
  5. Step 5: Solve for x
    x = 190,572,410,116/281,508
  6. Step 6: Final answer
    x = 676,969.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.