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Finding the Third Proportional to 320,439 and 483,112.50

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Solution

The third proportional to 320,439 and 483,112.50 is: 728,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,439 : 483,112.50 = 483,112.50 : x
  2. Step 2: Convert to fraction form
    320,439/483,112.50 = 483,112.50/x
  3. Step 3: Cross multiply
    320,439x = 483,112.50 × 483,112.50
  4. Step 4: Simplify right side
    320,439x = 233,397,687,656.25
  5. Step 5: Solve for x
    x = 233,397,687,656.25/320,439
  6. Step 6: Final answer
    x = 728,368.54

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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.