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Finding the Third Proportional to 378,741 and 814,704

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Solution

The third proportional to 378,741 and 814,704 is: 1,752,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,741 : 814,704 = 814,704 : x
  2. Step 2: Convert to fraction form
    378,741/814,704 = 814,704/x
  3. Step 3: Cross multiply
    378,741x = 814,704 × 814,704
  4. Step 4: Simplify right side
    378,741x = 663,742,607,616
  5. Step 5: Solve for x
    x = 663,742,607,616/378,741
  6. Step 6: Final answer
    x = 1,752,497.37

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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.