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Finding the Third Proportional to 250,408.13 and 590,523.75

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Solution

The third proportional to 250,408.13 and 590,523.75 is: 1,392,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,408.13 : 590,523.75 = 590,523.75 : x
  2. Step 2: Convert to fraction form
    250,408.13/590,523.75 = 590,523.75/x
  3. Step 3: Cross multiply
    250,408.13x = 590,523.75 × 590,523.75
  4. Step 4: Simplify right side
    250,408.13x = 348,718,299,314.06
  5. Step 5: Solve for x
    x = 348,718,299,314.06/250,408.13
  6. Step 6: Final answer
    x = 1,392,599.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.