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Finding the Third Proportional to 303,943 and 703,633

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Solution

The third proportional to 303,943 and 703,633 is: 1,628,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,943 : 703,633 = 703,633 : x
  2. Step 2: Convert to fraction form
    303,943/703,633 = 703,633/x
  3. Step 3: Cross multiply
    303,943x = 703,633 × 703,633
  4. Step 4: Simplify right side
    303,943x = 495,099,398,689
  5. Step 5: Solve for x
    x = 495,099,398,689/303,943
  6. Step 6: Final answer
    x = 1,628,921.87

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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.