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Finding the Third Proportional to 280,212.22 and 580,363.73

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Solution

The third proportional to 280,212.22 and 580,363.73 is: 1,202,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,212.22 : 580,363.73 = 580,363.73 : x
  2. Step 2: Convert to fraction form
    280,212.22/580,363.73 = 580,363.73/x
  3. Step 3: Cross multiply
    280,212.22x = 580,363.73 × 580,363.73
  4. Step 4: Simplify right side
    280,212.22x = 336,822,064,177.70
  5. Step 5: Solve for x
    x = 336,822,064,177.70/280,212.22
  6. Step 6: Final answer
    x = 1,202,024.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.