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Finding the Third Proportional to 415,171.41 and 863,477.72

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Solution

The third proportional to 415,171.41 and 863,477.72 is: 1,795,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,171.41 : 863,477.72 = 863,477.72 : x
  2. Step 2: Convert to fraction form
    415,171.41/863,477.72 = 863,477.72/x
  3. Step 3: Cross multiply
    415,171.41x = 863,477.72 × 863,477.72
  4. Step 4: Simplify right side
    415,171.41x = 745,593,770,777.70
  5. Step 5: Solve for x
    x = 745,593,770,777.70/415,171.41
  6. Step 6: Final answer
    x = 1,795,869.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.