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Finding the Third Proportional to 422,919 and 634,243

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Solution

The third proportional to 422,919 and 634,243 is: 951,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,919 : 634,243 = 634,243 : x
  2. Step 2: Convert to fraction form
    422,919/634,243 = 634,243/x
  3. Step 3: Cross multiply
    422,919x = 634,243 × 634,243
  4. Step 4: Simplify right side
    422,919x = 402,264,183,049
  5. Step 5: Solve for x
    x = 402,264,183,049/422,919
  6. Step 6: Final answer
    x = 951,161.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.