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Finding the Third Proportional to 293,667.75 and 467,286.19

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Solution

The third proportional to 293,667.75 and 467,286.19 is: 743,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,667.75 : 467,286.19 = 467,286.19 : x
  2. Step 2: Convert to fraction form
    293,667.75/467,286.19 = 467,286.19/x
  3. Step 3: Cross multiply
    293,667.75x = 467,286.19 × 467,286.19
  4. Step 4: Simplify right side
    293,667.75x = 218,356,381,028.29
  5. Step 5: Solve for x
    x = 218,356,381,028.29/293,667.75
  6. Step 6: Final answer
    x = 743,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.