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Finding the Third Proportional to 328,997 and 495,926

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Solution

The third proportional to 328,997 and 495,926 is: 747,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,997 : 495,926 = 495,926 : x
  2. Step 2: Convert to fraction form
    328,997/495,926 = 495,926/x
  3. Step 3: Cross multiply
    328,997x = 495,926 × 495,926
  4. Step 4: Simplify right side
    328,997x = 245,942,597,476
  5. Step 5: Solve for x
    x = 245,942,597,476/328,997
  6. Step 6: Final answer
    x = 747,552.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.