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Finding the Third Proportional to 252,286.13 and 420,461.44

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Solution

The third proportional to 252,286.13 and 420,461.44 is: 700,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,286.13 : 420,461.44 = 420,461.44 : x
  2. Step 2: Convert to fraction form
    252,286.13/420,461.44 = 420,461.44/x
  3. Step 3: Cross multiply
    252,286.13x = 420,461.44 × 420,461.44
  4. Step 4: Simplify right side
    252,286.13x = 176,787,820,424.57
  5. Step 5: Solve for x
    x = 176,787,820,424.57/252,286.13
  6. Step 6: Final answer
    x = 700,743.33

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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.