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Finding the Third Proportional to 303,930 and 703,543

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Solution

The third proportional to 303,930 and 703,543 is: 1,628,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,930 : 703,543 = 703,543 : x
  2. Step 2: Convert to fraction form
    303,930/703,543 = 703,543/x
  3. Step 3: Cross multiply
    303,930x = 703,543 × 703,543
  4. Step 4: Simplify right side
    303,930x = 494,972,752,849
  5. Step 5: Solve for x
    x = 494,972,752,849/303,930
  6. Step 6: Final answer
    x = 1,628,574.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.