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Finding the Third Proportional to 303,668 and 703,006.25

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Solution

The third proportional to 303,668 and 703,006.25 is: 1,627,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,668 : 703,006.25 = 703,006.25 : x
  2. Step 2: Convert to fraction form
    303,668/703,006.25 = 703,006.25/x
  3. Step 3: Cross multiply
    303,668x = 703,006.25 × 703,006.25
  4. Step 4: Simplify right side
    303,668x = 494,217,787,539.06
  5. Step 5: Solve for x
    x = 494,217,787,539.06/303,668
  6. Step 6: Final answer
    x = 1,627,493.80

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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.