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Finding the Third Proportional to 320,430 and 483,099

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Solution

The third proportional to 320,430 and 483,099 is: 728,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,430 : 483,099 = 483,099 : x
  2. Step 2: Convert to fraction form
    320,430/483,099 = 483,099/x
  3. Step 3: Cross multiply
    320,430x = 483,099 × 483,099
  4. Step 4: Simplify right side
    320,430x = 233,384,643,801
  5. Step 5: Solve for x
    x = 233,384,643,801/320,430
  6. Step 6: Final answer
    x = 728,348.29

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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.