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Finding the Third Proportional to 297,950 and 416,775

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Solution

The third proportional to 297,950 and 416,775 is: 582,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,950 : 416,775 = 416,775 : x
  2. Step 2: Convert to fraction form
    297,950/416,775 = 416,775/x
  3. Step 3: Cross multiply
    297,950x = 416,775 × 416,775
  4. Step 4: Simplify right side
    297,950x = 173,701,400,625
  5. Step 5: Solve for x
    x = 173,701,400,625/297,950
  6. Step 6: Final answer
    x = 582,988.42

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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.