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Finding the Third Proportional to 378,834 and 631,308

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Solution

The third proportional to 378,834 and 631,308 is: 1,052,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,834 : 631,308 = 631,308 : x
  2. Step 2: Convert to fraction form
    378,834/631,308 = 631,308/x
  3. Step 3: Cross multiply
    378,834x = 631,308 × 631,308
  4. Step 4: Simplify right side
    378,834x = 398,549,790,864
  5. Step 5: Solve for x
    x = 398,549,790,864/378,834
  6. Step 6: Final answer
    x = 1,052,043.35

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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.