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Finding the Third Proportional to 378,823 and 631,293

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Solution

The third proportional to 378,823 and 631,293 is: 1,052,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,823 : 631,293 = 631,293 : x
  2. Step 2: Convert to fraction form
    378,823/631,293 = 631,293/x
  3. Step 3: Cross multiply
    378,823x = 631,293 × 631,293
  4. Step 4: Simplify right side
    378,823x = 398,530,851,849
  5. Step 5: Solve for x
    x = 398,530,851,849/378,823
  6. Step 6: Final answer
    x = 1,052,023.91

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.