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Finding the Third Proportional to 299,595 and 636,126

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Solution

The third proportional to 299,595 and 636,126 is: 1,350,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,595 : 636,126 = 636,126 : x
  2. Step 2: Convert to fraction form
    299,595/636,126 = 636,126/x
  3. Step 3: Cross multiply
    299,595x = 636,126 × 636,126
  4. Step 4: Simplify right side
    299,595x = 404,656,287,876
  5. Step 5: Solve for x
    x = 404,656,287,876/299,595
  6. Step 6: Final answer
    x = 1,350,677.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.