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Finding the Third Proportional to 320,410.50 and 483,076.50

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Solution

The third proportional to 320,410.50 and 483,076.50 is: 728,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,410.50 : 483,076.50 = 483,076.50 : x
  2. Step 2: Convert to fraction form
    320,410.50/483,076.50 = 483,076.50/x
  3. Step 3: Cross multiply
    320,410.50x = 483,076.50 × 483,076.50
  4. Step 4: Simplify right side
    320,410.50x = 233,362,904,852.25
  5. Step 5: Solve for x
    x = 233,362,904,852.25/320,410.50
  6. Step 6: Final answer
    x = 728,324.77

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