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Finding the Third Proportional to 217,774 and 326,663

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Solution

The third proportional to 217,774 and 326,663 is: 489,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,774 : 326,663 = 326,663 : x
  2. Step 2: Convert to fraction form
    217,774/326,663 = 326,663/x
  3. Step 3: Cross multiply
    217,774x = 326,663 × 326,663
  4. Step 4: Simplify right side
    217,774x = 106,708,715,569
  5. Step 5: Solve for x
    x = 106,708,715,569/217,774
  6. Step 6: Final answer
    x = 489,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.