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Finding the Third Proportional to 303,741 and 703,165

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Solution

The third proportional to 303,741 and 703,165 is: 1,627,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,741 : 703,165 = 703,165 : x
  2. Step 2: Convert to fraction form
    303,741/703,165 = 703,165/x
  3. Step 3: Cross multiply
    303,741x = 703,165 × 703,165
  4. Step 4: Simplify right side
    303,741x = 494,441,017,225
  5. Step 5: Solve for x
    x = 494,441,017,225/303,741
  6. Step 6: Final answer
    x = 1,627,837.59

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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.