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Finding the Third Proportional to 252,451.69 and 420,729.19

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Solution

The third proportional to 252,451.69 and 420,729.19 is: 701,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,451.69 : 420,729.19 = 420,729.19 : x
  2. Step 2: Convert to fraction form
    252,451.69/420,729.19 = 420,729.19/x
  3. Step 3: Cross multiply
    252,451.69x = 420,729.19 × 420,729.19
  4. Step 4: Simplify right side
    252,451.69x = 177,013,049,214.41
  5. Step 5: Solve for x
    x = 177,013,049,214.41/252,451.69
  6. Step 6: Final answer
    x = 701,175.94

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.