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Finding the Third Proportional to 303,944 and 661,400

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Solution

The third proportional to 303,944 and 661,400 is: 1,439,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,944 : 661,400 = 661,400 : x
  2. Step 2: Convert to fraction form
    303,944/661,400 = 661,400/x
  3. Step 3: Cross multiply
    303,944x = 661,400 × 661,400
  4. Step 4: Simplify right side
    303,944x = 437,449,960,000
  5. Step 5: Solve for x
    x = 437,449,960,000/303,944
  6. Step 6: Final answer
    x = 1,439,245.26

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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.