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Finding the Third Proportional to 378,171 and 813,699

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Solution

The third proportional to 378,171 and 813,699 is: 1,750,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171 : 813,699 = 813,699 : x
  2. Step 2: Convert to fraction form
    378,171/813,699 = 813,699/x
  3. Step 3: Cross multiply
    378,171x = 813,699 × 813,699
  4. Step 4: Simplify right side
    378,171x = 662,106,062,601
  5. Step 5: Solve for x
    x = 662,106,062,601/378,171
  6. Step 6: Final answer
    x = 1,750,811.31

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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.