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Finding the Third Proportional to 303,927.56 and 703,537.69

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Solution

The third proportional to 303,927.56 and 703,537.69 is: 1,628,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,927.56 : 703,537.69 = 703,537.69 : x
  2. Step 2: Convert to fraction form
    303,927.56/703,537.69 = 703,537.69/x
  3. Step 3: Cross multiply
    303,927.56x = 703,537.69 × 703,537.69
  4. Step 4: Simplify right side
    303,927.56x = 494,965,277,732.85
  5. Step 5: Solve for x
    x = 494,965,277,732.85/303,927.56
  6. Step 6: Final answer
    x = 1,628,563.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.