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Finding the Third Proportional to 320,432 and 483,102

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Solution

The third proportional to 320,432 and 483,102 is: 728,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432 : 483,102 = 483,102 : x
  2. Step 2: Convert to fraction form
    320,432/483,102 = 483,102/x
  3. Step 3: Cross multiply
    320,432x = 483,102 × 483,102
  4. Step 4: Simplify right side
    320,432x = 233,387,542,404
  5. Step 5: Solve for x
    x = 233,387,542,404/320,432
  6. Step 6: Final answer
    x = 728,352.79

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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.