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Finding the Third Proportional to 274,784.50 and 579,087

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Solution

The third proportional to 274,784.50 and 579,087 is: 1,220,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,784.50 : 579,087 = 579,087 : x
  2. Step 2: Convert to fraction form
    274,784.50/579,087 = 579,087/x
  3. Step 3: Cross multiply
    274,784.50x = 579,087 × 579,087
  4. Step 4: Simplify right side
    274,784.50x = 335,341,753,569
  5. Step 5: Solve for x
    x = 335,341,753,569/274,784.50
  6. Step 6: Final answer
    x = 1,220,380.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.