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Finding the Third Proportional to 180,573 and 384,477

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Solution

The third proportional to 180,573 and 384,477 is: 818,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,573 : 384,477 = 384,477 : x
  2. Step 2: Convert to fraction form
    180,573/384,477 = 384,477/x
  3. Step 3: Cross multiply
    180,573x = 384,477 × 384,477
  4. Step 4: Simplify right side
    180,573x = 147,822,563,529
  5. Step 5: Solve for x
    x = 147,822,563,529/180,573
  6. Step 6: Final answer
    x = 818,630.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.