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Finding the Third Proportional to 207,375 and 454,926

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Solution

The third proportional to 207,375 and 454,926 is: 997,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,375 : 454,926 = 454,926 : x
  2. Step 2: Convert to fraction form
    207,375/454,926 = 454,926/x
  3. Step 3: Cross multiply
    207,375x = 454,926 × 454,926
  4. Step 4: Simplify right side
    207,375x = 206,957,665,476
  5. Step 5: Solve for x
    x = 206,957,665,476/207,375
  6. Step 6: Final answer
    x = 997,987.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.