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Finding the Third Proportional to 204,790.50 and 320,562

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Solution

The third proportional to 204,790.50 and 320,562 is: 501,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,790.50 : 320,562 = 320,562 : x
  2. Step 2: Convert to fraction form
    204,790.50/320,562 = 320,562/x
  3. Step 3: Cross multiply
    204,790.50x = 320,562 × 320,562
  4. Step 4: Simplify right side
    204,790.50x = 102,759,995,844
  5. Step 5: Solve for x
    x = 102,759,995,844/204,790.50
  6. Step 6: Final answer
    x = 501,781.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.