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Finding the Third Proportional to 303,667.50 and 703,005

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Solution

The third proportional to 303,667.50 and 703,005 is: 1,627,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,667.50 : 703,005 = 703,005 : x
  2. Step 2: Convert to fraction form
    303,667.50/703,005 = 703,005/x
  3. Step 3: Cross multiply
    303,667.50x = 703,005 × 703,005
  4. Step 4: Simplify right side
    303,667.50x = 494,216,030,025
  5. Step 5: Solve for x
    x = 494,216,030,025/303,667.50
  6. Step 6: Final answer
    x = 1,627,490.69

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.