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Finding the Third Proportional to 303,918.56 and 661,351.03

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Solution

The third proportional to 303,918.56 and 661,351.03 is: 1,439,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,918.56 : 661,351.03 = 661,351.03 : x
  2. Step 2: Convert to fraction form
    303,918.56/661,351.03 = 661,351.03/x
  3. Step 3: Cross multiply
    303,918.56x = 661,351.03 × 661,351.03
  4. Step 4: Simplify right side
    303,918.56x = 437,385,186,535.44
  5. Step 5: Solve for x
    x = 437,385,186,535.44/303,918.56
  6. Step 6: Final answer
    x = 1,439,152.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.