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Finding the Third Proportional to 303,944 and 703,632

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Solution

The third proportional to 303,944 and 703,632 is: 1,628,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,944 : 703,632 = 703,632 : x
  2. Step 2: Convert to fraction form
    303,944/703,632 = 703,632/x
  3. Step 3: Cross multiply
    303,944x = 703,632 × 703,632
  4. Step 4: Simplify right side
    303,944x = 495,097,991,424
  5. Step 5: Solve for x
    x = 495,097,991,424/303,944
  6. Step 6: Final answer
    x = 1,628,911.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.