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Finding the Third Proportional to 282,012 and 436,884

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Solution

The third proportional to 282,012 and 436,884 is: 676,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012 : 436,884 = 436,884 : x
  2. Step 2: Convert to fraction form
    282,012/436,884 = 436,884/x
  3. Step 3: Cross multiply
    282,012x = 436,884 × 436,884
  4. Step 4: Simplify right side
    282,012x = 190,867,629,456
  5. Step 5: Solve for x
    x = 190,867,629,456/282,012
  6. Step 6: Final answer
    x = 676,806.77

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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.