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Finding the Third Proportional to 320,438 and 483,111

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Solution

The third proportional to 320,438 and 483,111 is: 728,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438 : 483,111 = 483,111 : x
  2. Step 2: Convert to fraction form
    320,438/483,111 = 483,111/x
  3. Step 3: Cross multiply
    320,438x = 483,111 × 483,111
  4. Step 4: Simplify right side
    320,438x = 233,396,238,321
  5. Step 5: Solve for x
    x = 233,396,238,321/320,438
  6. Step 6: Final answer
    x = 728,366.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.