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Finding the Third Proportional to 217,575 and 337,601

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Solution

The third proportional to 217,575 and 337,601 is: 523,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,575 : 337,601 = 337,601 : x
  2. Step 2: Convert to fraction form
    217,575/337,601 = 337,601/x
  3. Step 3: Cross multiply
    217,575x = 337,601 × 337,601
  4. Step 4: Simplify right side
    217,575x = 113,974,435,201
  5. Step 5: Solve for x
    x = 113,974,435,201/217,575
  6. Step 6: Final answer
    x = 523,839.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.