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Finding the Third Proportional to 269,400 and 418,284

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Solution

The third proportional to 269,400 and 418,284 is: 649,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,400 : 418,284 = 418,284 : x
  2. Step 2: Convert to fraction form
    269,400/418,284 = 418,284/x
  3. Step 3: Cross multiply
    269,400x = 418,284 × 418,284
  4. Step 4: Simplify right side
    269,400x = 174,961,504,656
  5. Step 5: Solve for x
    x = 174,961,504,656/269,400
  6. Step 6: Final answer
    x = 649,448.79

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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.