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Finding the Third Proportional to 285,382.13 and 614,913.75

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Solution

The third proportional to 285,382.13 and 614,913.75 is: 1,324,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,382.13 : 614,913.75 = 614,913.75 : x
  2. Step 2: Convert to fraction form
    285,382.13/614,913.75 = 614,913.75/x
  3. Step 3: Cross multiply
    285,382.13x = 614,913.75 × 614,913.75
  4. Step 4: Simplify right side
    285,382.13x = 378,118,919,939.06
  5. Step 5: Solve for x
    x = 378,118,919,939.06/285,382.13
  6. Step 6: Final answer
    x = 1,324,956.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.