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Finding the Third Proportional to 321,523.17 and 684,667.69

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Solution

The third proportional to 321,523.17 and 684,667.69 is: 1,457,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.17 : 684,667.69 = 684,667.69 : x
  2. Step 2: Convert to fraction form
    321,523.17/684,667.69 = 684,667.69/x
  3. Step 3: Cross multiply
    321,523.17x = 684,667.69 × 684,667.69
  4. Step 4: Simplify right side
    321,523.17x = 468,769,842,306.60
  5. Step 5: Solve for x
    x = 468,769,842,306.60/321,523.17
  6. Step 6: Final answer
    x = 1,457,965.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.