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Finding the Third Proportional to 303,963 and 703,683

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Solution

The third proportional to 303,963 and 703,683 is: 1,629,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,963 : 703,683 = 703,683 : x
  2. Step 2: Convert to fraction form
    303,963/703,683 = 703,683/x
  3. Step 3: Cross multiply
    303,963x = 703,683 × 703,683
  4. Step 4: Simplify right side
    303,963x = 495,169,764,489
  5. Step 5: Solve for x
    x = 495,169,764,489/303,963
  6. Step 6: Final answer
    x = 1,629,046.18

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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.