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Finding the Third Proportional to 422,922 and 634,248

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Solution

The third proportional to 422,922 and 634,248 is: 951,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922 : 634,248 = 634,248 : x
  2. Step 2: Convert to fraction form
    422,922/634,248 = 634,248/x
  3. Step 3: Cross multiply
    422,922x = 634,248 × 634,248
  4. Step 4: Simplify right side
    422,922x = 402,270,525,504
  5. Step 5: Solve for x
    x = 402,270,525,504/422,922
  6. Step 6: Final answer
    x = 951,169.54

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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.