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Finding the Third Proportional to 363,599 and 781,171

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Solution

The third proportional to 363,599 and 781,171 is: 1,678,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,599 : 781,171 = 781,171 : x
  2. Step 2: Convert to fraction form
    363,599/781,171 = 781,171/x
  3. Step 3: Cross multiply
    363,599x = 781,171 × 781,171
  4. Step 4: Simplify right side
    363,599x = 610,228,131,241
  5. Step 5: Solve for x
    x = 610,228,131,241/363,599
  6. Step 6: Final answer
    x = 1,678,299.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.