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Finding the Third Proportional to 303,360.82 and 654,024.06

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Solution

The third proportional to 303,360.82 and 654,024.06 is: 1,410,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,360.82 : 654,024.06 = 654,024.06 : x
  2. Step 2: Convert to fraction form
    303,360.82/654,024.06 = 654,024.06/x
  3. Step 3: Cross multiply
    303,360.82x = 654,024.06 × 654,024.06
  4. Step 4: Simplify right side
    303,360.82x = 427,747,469,219.44
  5. Step 5: Solve for x
    x = 427,747,469,219.44/303,360.82
  6. Step 6: Final answer
    x = 1,410,028.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.