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Finding the Third Proportional to 451,181 and 634,800

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Solution

The third proportional to 451,181 and 634,800 is: 893,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,181 : 634,800 = 634,800 : x
  2. Step 2: Convert to fraction form
    451,181/634,800 = 634,800/x
  3. Step 3: Cross multiply
    451,181x = 634,800 × 634,800
  4. Step 4: Simplify right side
    451,181x = 402,971,040,000
  5. Step 5: Solve for x
    x = 402,971,040,000/451,181
  6. Step 6: Final answer
    x = 893,147.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.