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Finding the Third Proportional to 422,926 and 634,254

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Solution

The third proportional to 422,926 and 634,254 is: 951,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,926 : 634,254 = 634,254 : x
  2. Step 2: Convert to fraction form
    422,926/634,254 = 634,254/x
  3. Step 3: Cross multiply
    422,926x = 634,254 × 634,254
  4. Step 4: Simplify right side
    422,926x = 402,278,136,516
  5. Step 5: Solve for x
    x = 402,278,136,516/422,926
  6. Step 6: Final answer
    x = 951,178.54

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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.