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Finding the Third Proportional to 180,602 and 394,516

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Solution

The third proportional to 180,602 and 394,516 is: 861,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602 : 394,516 = 394,516 : x
  2. Step 2: Convert to fraction form
    180,602/394,516 = 394,516/x
  3. Step 3: Cross multiply
    180,602x = 394,516 × 394,516
  4. Step 4: Simplify right side
    180,602x = 155,642,874,256
  5. Step 5: Solve for x
    x = 155,642,874,256/180,602
  6. Step 6: Final answer
    x = 861,800.39

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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.