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Finding the Third Proportional to 217,573 and 337,598

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Solution

The third proportional to 217,573 and 337,598 is: 523,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,573 : 337,598 = 337,598 : x
  2. Step 2: Convert to fraction form
    217,573/337,598 = 337,598/x
  3. Step 3: Cross multiply
    217,573x = 337,598 × 337,598
  4. Step 4: Simplify right side
    217,573x = 113,972,409,604
  5. Step 5: Solve for x
    x = 113,972,409,604/217,573
  6. Step 6: Final answer
    x = 523,835.26

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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.