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Finding the Third Proportional to 303,016 and 656,180

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Solution

The third proportional to 303,016 and 656,180 is: 1,420,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,016 : 656,180 = 656,180 : x
  2. Step 2: Convert to fraction form
    303,016/656,180 = 656,180/x
  3. Step 3: Cross multiply
    303,016x = 656,180 × 656,180
  4. Step 4: Simplify right side
    303,016x = 430,572,192,400
  5. Step 5: Solve for x
    x = 430,572,192,400/303,016
  6. Step 6: Final answer
    x = 1,420,955.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.