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Finding the Third Proportional to 297,550 and 416,181

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Solution

The third proportional to 297,550 and 416,181 is: 582,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,550 : 416,181 = 416,181 : x
  2. Step 2: Convert to fraction form
    297,550/416,181 = 416,181/x
  3. Step 3: Cross multiply
    297,550x = 416,181 × 416,181
  4. Step 4: Simplify right side
    297,550x = 173,206,624,761
  5. Step 5: Solve for x
    x = 173,206,624,761/297,550
  6. Step 6: Final answer
    x = 582,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.