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Finding the Third Proportional to 303,774.75 and 703,263.38

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Solution

The third proportional to 303,774.75 and 703,263.38 is: 1,628,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,774.75 : 703,263.38 = 703,263.38 : x
  2. Step 2: Convert to fraction form
    303,774.75/703,263.38 = 703,263.38/x
  3. Step 3: Cross multiply
    303,774.75x = 703,263.38 × 703,263.38
  4. Step 4: Simplify right side
    303,774.75x = 494,579,374,616.39
  5. Step 5: Solve for x
    x = 494,579,374,616.39/303,774.75
  6. Step 6: Final answer
    x = 1,628,112.19

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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.