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Finding the Third Proportional to 250,408.97 and 590,522.91

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Solution

The third proportional to 250,408.97 and 590,522.91 is: 1,392,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,408.97 : 590,522.91 = 590,522.91 : x
  2. Step 2: Convert to fraction form
    250,408.97/590,522.91 = 590,522.91/x
  3. Step 3: Cross multiply
    250,408.97x = 590,522.91 × 590,522.91
  4. Step 4: Simplify right side
    250,408.97x = 348,717,302,805.95
  5. Step 5: Solve for x
    x = 348,717,302,805.95/250,408.97
  6. Step 6: Final answer
    x = 1,392,591.11

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Why These Related Problems?

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