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Finding the Third Proportional to 280,206 and 385,317

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Solution

The third proportional to 280,206 and 385,317 is: 529,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,206 : 385,317 = 385,317 : x
  2. Step 2: Convert to fraction form
    280,206/385,317 = 385,317/x
  3. Step 3: Cross multiply
    280,206x = 385,317 × 385,317
  4. Step 4: Simplify right side
    280,206x = 148,469,190,489
  5. Step 5: Solve for x
    x = 148,469,190,489/280,206
  6. Step 6: Final answer
    x = 529,857.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.